234:@0.054582:0.966558:0.078778:0.966558:0.078778:0.950778:0.054582:0.950778:0.000000:0.000000:0.000000
Multiplicación de polinomios:@0.404235:0.120539:0.756186:0.120539:0.756186:0.075879:0.404235:0.075879:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.5.1.39. Realizar operaciones de multiplicación, entre funciones polinomiales, y multiplicación de números reales por polinomios, en ejercicios algebraicos de simplificación.:@0.143128:0.952377:0.887198:0.952377:0.887198:0.942335:0.143128:0.942335:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Producto:@0.404236:0.170291:0.479602:0.170291:0.479602:0.152609:0.404236:0.152609:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sean :@0.404236:0.186999:0.442035:0.186999:0.442035:0.170501:0.404236:0.170501:0.000000:0.000000:0.000000:0.000000:0.000000
a, b, n, m, t:@0.442131:0.187115:0.517208:0.187115:0.517208:0.170646:0.442131:0.170646:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.517208:0.186782:0.533256:0.186782:0.533256:0.172135:0.517208:0.172135:0.000000
:@0.533256:0.186030:0.547165:0.186030:0.547165:0.172583:0.533256:0.172583:0.000000
. Utilizando las propiedades del producto de nú-:@0.547165:0.186999:0.891757:0.186999:0.891757:0.170501:0.547165:0.170501:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
meros reales, así como la potenciación de números reales con expo-:@0.404236:0.204350:0.891701:0.204350:0.891701:0.187852:0.404236:0.187852:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nentes naturales, el producto de los monomios :@0.404236:0.221701:0.753860:0.221701:0.753860:0.205203:0.404236:0.205203:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
at:@0.755613:0.221816:0.770139:0.221816:0.770139:0.205347:0.755613:0.205347:0.000000:0.000000
n:@0.769949:0.215415:0.775408:0.215415:0.775408:0.205814:0.769949:0.205814:0.000000
 y :@0.775409:0.221701:0.793268:0.221701:0.793268:0.205203:0.775409:0.205203:0.000000:0.000000:0.000000
bt:@0.795021:0.221816:0.809913:0.221816:0.809913:0.205347:0.795021:0.205347:0.000000:0.000000
m  :@0.809735:0.215415:0.824212:0.215415:0.824212:0.205814:0.809735:0.205814:0.000000:0.000000:0.000000
nos da el :@0.825232:0.221701:0.895917:0.221701:0.895917:0.205203:0.825232:0.205203:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
resultado siguiente: :@0.404229:0.239051:0.544863:0.239051:0.544863:0.222554:0.404229:0.222554:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
at bt:@0.551835:0.258404:0.600268:0.258404:0.600268:0.241935:0.551835:0.241935:0.000000:0.000000:0.000000:0.000000:0.000000
abtt:@0.634290:0.258404:0.670490:0.258404:0.670490:0.241935:0.634290:0.241935:0.000000:0.000000:0.000000:0.000000
abt:@0.699002:0.258404:0.722679:0.258404:0.722679:0.241935:0.699002:0.241935:0.000000:0.000000:0.000000
n:@0.567331:0.250319:0.572750:0.250319:0.572750:0.240787:0.567331:0.240787:0.000000
m:@0.601519:0.250319:0.610083:0.250319:0.610083:0.240787:0.601519:0.240787:0.000000
nm:@0.659001:0.250319:0.680288:0.250319:0.680288:0.240787:0.659001:0.240787:0.000000:0.000000
nm:@0.723703:0.250319:0.745045:0.250319:0.745045:0.240787:0.723703:0.240787:0.000000:0.000000
(:@0.545866:0.258288:0.551819:0.258288:0.551819:0.241790:0.545866:0.241790:0.000000
)(:@0.574244:0.258288:0.585803:0.258288:0.585803:0.241790:0.574244:0.241790:0.000000:0.000000
) =:@0.611426:0.258288:0.631230:0.258288:0.631230:0.241790:0.611426:0.241790:0.000000:0.000000:0.000000
=:@0.685135:0.258288:0.695942:0.258288:0.695942:0.241790:0.685135:0.241790:0.000000
.:@0.747226:0.258288:0.749981:0.258288:0.749981:0.241790:0.747226:0.241790:0.000000
+:@0.729514:0.250621:0.735636:0.250621:0.735636:0.241197:0.729514:0.241197:0.000000
 :@0.404236:0.281925:0.408378:0.281925:0.408378:0.265428:0.404236:0.265428:0.000000
Sean :@0.404236:0.316699:0.442035:0.316699:0.442035:0.300201:0.404236:0.300201:0.000000:0.000000:0.000000:0.000000:0.000000
P, Q :@0.442035:0.316815:0.472127:0.316815:0.472127:0.300346:0.442035:0.300346:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.472127:0.316482:0.488175:0.316482:0.488175:0.301835:0.472127:0.301835:0.000000
[ ]:@0.502388:0.318690:0.529572:0.318690:0.529572:0.297991:0.502388:0.297991:0.000000:0.000000:0.000000
 :@0.491499:0.320357:0.522979:0.320357:0.522979:0.299015:0.491499:0.299015:0.000000:0.000000:0.000000
. Pongamos:  :@0.532131:0.316695:0.625084:0.316695:0.625084:0.300197:0.532131:0.300197:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.668770:0.306213:0.679513:0.306213:0.679513:0.289814:0.668770:0.289814:0.000000
,:@0.804753:0.306213:0.807491:0.306213:0.807491:0.289814:0.804753:0.289814:0.000000
,:@0.866825:0.306213:0.869563:0.306213:0.869563:0.289814:0.866825:0.289814:0.000000
=:@0.668145:0.332458:0.678888:0.332458:0.678888:0.316059:0.668145:0.316059:0.000000
,:@0.809682:0.332458:0.812420:0.332458:0.812420:0.316059:0.809682:0.316059:0.000000
.:@0.871040:0.332458:0.873778:0.332458:0.873778:0.316059:0.871040:0.316059:0.000000
0:@0.691302:0.308419:0.696190:0.308419:0.696190:0.298927:0.691302:0.298927:0.000000
1:@0.720553:0.308419:0.725441:0.308419:0.725441:0.298927:0.720553:0.298927:0.000000
0:@0.690415:0.334664:0.695303:0.334664:0.695303:0.325173:0.690415:0.325173:0.000000
1:@0.719400:0.334664:0.724288:0.334664:0.724288:0.325173:0.719400:0.325173:0.000000
:@0.851421:0.309274:0.865248:0.309274:0.865248:0.288061:0.851421:0.288061:0.000000
:@0.856362:0.335518:0.870188:0.335518:0.870188:0.314305:0.856362:0.314305:0.000000
():@0.646080:0.309861:0.665786:0.309861:0.665786:0.288499:0.646080:0.288499:0.000000:0.000000
():@0.645449:0.336099:0.665154:0.336099:0.665154:0.314737:0.645449:0.314737:0.000000:0.000000
+:@0.699836:0.306845:0.710349:0.306845:0.710349:0.290662:0.699836:0.290662:0.000000
+:@0.732716:0.306845:0.743229:0.306845:0.743229:0.290662:0.732716:0.290662:0.000000
+:@0.762697:0.306845:0.773211:0.306845:0.773211:0.290662:0.762697:0.290662:0.000000
∈:@0.834050:0.306845:0.847703:0.306845:0.847703:0.290662:0.834050:0.290662:0.000000
+:@0.698951:0.333090:0.709464:0.333090:0.709464:0.316907:0.698951:0.316907:0.000000
+:@0.731582:0.333090:0.742096:0.333090:0.742096:0.316907:0.731582:0.316907:0.000000
+:@0.761553:0.333090:0.772066:0.333090:0.772066:0.316907:0.761553:0.316907:0.000000
∈:@0.838995:0.333090:0.852649:0.333090:0.852649:0.316907:0.838995:0.316907:0.000000
Pt:@0.635622:0.306328:0.658372:0.306328:0.658372:0.289958:0.635622:0.289958:0.000000:0.000000
a:@0.682558:0.306328:0.691482:0.306328:0.691482:0.289958:0.682558:0.289958:0.000000
a t:@0.712489:0.306328:0.730548:0.306328:0.730548:0.289958:0.712489:0.289958:0.000000:0.000000:0.000000
a t:@0.775339:0.306328:0.795274:0.306328:0.795274:0.289958:0.775339:0.289958:0.000000:0.000000:0.000000
t:@0.824248:0.306328:0.829878:0.306328:0.829878:0.289958:0.824248:0.289958:0.000000
Qt:@0.631390:0.332572:0.657740:0.332572:0.657740:0.316202:0.631390:0.316202:0.000000:0.000000
b:@0.681505:0.332572:0.690716:0.332572:0.690716:0.316202:0.681505:0.316202:0.000000
b t:@0.711168:0.332572:0.729399:0.332572:0.729399:0.316202:0.711168:0.316202:0.000000:0.000000:0.000000
b t:@0.773769:0.332572:0.797055:0.332572:0.797055:0.316202:0.773769:0.316202:0.000000:0.000000:0.000000
t:@0.829208:0.332572:0.834838:0.332572:0.834838:0.316202:0.829208:0.316202:0.000000
n:@0.783877:0.308485:0.789264:0.308485:0.789264:0.299010:0.783877:0.299010:0.000000
n:@0.796314:0.298295:0.801701:0.298295:0.801701:0.288820:0.796314:0.288820:0.000000
m:@0.782680:0.334731:0.791193:0.334731:0.791193:0.325256:0.782680:0.325256:0.000000
m:@0.798287:0.324541:0.806799:0.324541:0.806799:0.315065:0.798287:0.315065:0.000000
Sean:@0.404236:0.368747:0.437893:0.368747:0.437893:0.352249:0.404236:0.352249:0.000000:0.000000:0.000000:0.000000
 j, k:@0.437893:0.368863:0.460759:0.368863:0.460759:0.352394:0.437893:0.352394:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.460759:0.368747:0.464901:0.368747:0.464901:0.352249:0.460759:0.352249:0.000000
 :@0.464691:0.368530:0.485170:0.368530:0.485170:0.353883:0.464691:0.353883:0.000000:0.000000
N:@0.484553:0.367778:0.499541:0.367778:0.499541:0.354331:0.484553:0.354331:0.000000
 y   :@0.499541:0.368747:0.525049:0.368747:0.525049:0.352249:0.499541:0.352249:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.515243:0.368863:0.520907:0.368863:0.520907:0.352394:0.515243:0.352394:0.000000
 :@0.524837:0.368530:0.545316:0.368530:0.545316:0.353883:0.524837:0.353883:0.000000:0.000000
:@0.544699:0.367778:0.558609:0.367778:0.558609:0.354331:0.544699:0.354331:0.000000
. Entonces, :@0.558223:0.368747:0.637063:0.368747:0.637063:0.352249:0.558223:0.352249:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tt  = t .:@0.636864:0.368863:0.695946:0.368863:0.695946:0.352394:0.636864:0.352394:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
j k:@0.642529:0.362395:0.655281:0.362395:0.655281:0.352777:0.642529:0.352777:0.000000:0.000000:0.000000
j+k:@0.679708:0.362395:0.693096:0.362395:0.693096:0.352777:0.679708:0.352777:0.000000:0.000000:0.000000
  La multiplicación de   con   :@0.695946:0.368747:0.895907:0.368747:0.895907:0.352249:0.695946:0.352249:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P:@0.852091:0.368863:0.860876:0.368863:0.860876:0.352394:0.852091:0.352394:0.000000
Q :@0.404231:0.386213:0.420260:0.386213:0.420260:0.369745:0.404231:0.369745:0.000000:0.000000
se denota con :@0.420260:0.386098:0.525275:0.386098:0.525275:0.369600:0.420260:0.369600:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
PQ:@0.525275:0.386213:0.546255:0.386213:0.546255:0.369745:0.525275:0.369745:0.000000:0.000000
 y se define como sigue::@0.546255:0.386098:0.714438:0.386098:0.714438:0.369600:0.546255:0.369600:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  :@0.404231:0.445567:0.412515:0.445567:0.412515:0.429070:0.404231:0.429070:0.000000:0.000000
PQ t:@0.420635:0.412133:0.458241:0.412133:0.458241:0.395664:0.420635:0.395664:0.000000:0.000000:0.000000:0.000000
P t:@0.480955:0.412133:0.501318:0.412133:0.501318:0.395664:0.480955:0.395664:0.000000:0.000000:0.000000
Q t:@0.522934:0.412133:0.546919:0.412133:0.546919:0.395664:0.522934:0.395664:0.000000:0.000000:0.000000
a:@0.576741:0.412133:0.585719:0.412133:0.585719:0.395664:0.576741:0.395664:0.000000
at:@0.608471:0.412133:0.626658:0.412133:0.626658:0.395664:0.608471:0.395664:0.000000:0.000000
at:@0.674956:0.412133:0.695011:0.412133:0.695011:0.395664:0.674956:0.395664:0.000000:0.000000
b:@0.718148:0.412133:0.727415:0.412133:0.727415:0.395664:0.718148:0.395664:0.000000
b t:@0.749609:0.412133:0.767949:0.412133:0.767949:0.395664:0.749609:0.395664:0.000000:0.000000:0.000000
b t:@0.815843:0.412133:0.839250:0.412133:0.839250:0.395664:0.815843:0.395664:0.000000:0.000000:0.000000
ab:@0.428958:0.435860:0.452577:0.435860:0.452577:0.419391:0.428958:0.419391:0.000000:0.000000
ab:@0.481879:0.435860:0.503668:0.435860:0.503668:0.419391:0.481879:0.419391:0.000000:0.000000
ab t:@0.526267:0.435860:0.568515:0.435860:0.568515:0.419391:0.526267:0.419391:0.000000:0.000000:0.000000:0.000000
a b:@0.623537:0.435860:0.657867:0.435860:0.657867:0.419391:0.623537:0.419391:0.000000:0.000000:0.000000
a b:@0.683721:0.435860:0.707398:0.435860:0.707398:0.419391:0.683721:0.419391:0.000000:0.000000:0.000000
t:@0.736142:0.435860:0.741806:0.435860:0.741806:0.419391:0.736142:0.419391:0.000000
ab t:@0.799178:0.435860:0.846571:0.435860:0.846571:0.419391:0.799178:0.419391:0.000000:0.000000:0.000000:0.000000
n:@0.683542:0.414303:0.688961:0.414303:0.688961:0.404771:0.683542:0.404771:0.000000
n:@0.696053:0.404051:0.701473:0.404051:0.701473:0.394519:0.696053:0.394519:0.000000
m:@0.824789:0.414303:0.833352:0.414303:0.833352:0.404771:0.824789:0.404771:0.000000
m:@0.840489:0.404051:0.849053:0.404051:0.849053:0.394519:0.840489:0.394519:0.000000
n:@0.632137:0.438037:0.637557:0.438037:0.637557:0.428505:0.632137:0.428505:0.000000
m:@0.657583:0.438037:0.666147:0.438037:0.666147:0.428505:0.657583:0.428505:0.000000
nm:@0.692340:0.438037:0.715667:0.438037:0.715667:0.428505:0.692340:0.428505:0.000000:0.000000
mn:@0.743065:0.427785:0.764028:0.427785:0.764028:0.418253:0.743065:0.418253:0.000000:0.000000
nm:@0.807772:0.438037:0.831100:0.438037:0.831100:0.428505:0.807772:0.428505:0.000000:0.000000
mn:@0.847821:0.427779:0.868785:0.427779:0.868785:0.418246:0.847821:0.418246:0.000000:0.000000
(:@0.415085:0.412017:0.421038:0.412017:0.421038:0.395519:0.415085:0.395519:0.000000
)() =( ):@0.441421:0.412017:0.507520:0.412017:0.507520:0.395519:0.441421:0.395519:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( )=:@0.535705:0.412017:0.566972:0.412017:0.566972:0.395519:0.535705:0.395519:0.000000:0.000000:0.000000:0.000000
=:@0.415085:0.435748:0.425893:0.435748:0.425893:0.419251:0.415085:0.419251:0.000000
.:@0.871113:0.435748:0.873868:0.435748:0.873868:0.419251:0.871113:0.419251:0.000000
0:@0.585541:0.414236:0.590458:0.414236:0.590458:0.404687:0.585541:0.404687:0.000000
1:@0.616584:0.414236:0.621502:0.414236:0.621502:0.404687:0.616584:0.404687:0.000000
0:@0.727099:0.414236:0.732017:0.414236:0.732017:0.404687:0.727099:0.404687:0.000000
1:@0.757886:0.414236:0.762804:0.414236:0.762804:0.404687:0.757886:0.404687:0.000000
00:@0.437760:0.437970:0.457185:0.437970:0.457185:0.428421:0.437760:0.428421:0.000000:0.000000
10:@0.490001:0.437970:0.508266:0.437970:0.508266:0.428421:0.490001:0.428421:0.000000:0.000000
01:@0.535072:0.437970:0.553806:0.437970:0.553806:0.428421:0.535072:0.428421:0.000000:0.000000
1:@0.644227:0.437970:0.649144:0.437970:0.649144:0.428421:0.644227:0.428421:0.000000
1:@0.722182:0.437970:0.727099:0.437970:0.727099:0.428421:0.722182:0.428421:0.000000
1:@0.770710:0.427718:0.775627:0.427718:0.775627:0.418169:0.770710:0.418169:0.000000
(:@0.569207:0.417069:0.575622:0.417069:0.575622:0.390369:0.569207:0.390369:0.000000
)(:@0.704160:0.417069:0.717434:0.417069:0.717434:0.390369:0.704160:0.390369:0.000000:0.000000
):@0.851578:0.417069:0.857993:0.417069:0.857993:0.390369:0.851578:0.390369:0.000000
(:@0.474347:0.439390:0.480762:0.439390:0.480762:0.415783:0.474347:0.415783:0.000000
):@0.555588:0.439390:0.562004:0.439390:0.562004:0.415783:0.555588:0.415783:0.000000
(:@0.616004:0.439390:0.622419:0.439390:0.622419:0.415783:0.616004:0.415783:0.000000
):@0.728879:0.439390:0.735295:0.439390:0.735295:0.415783:0.728879:0.415783:0.000000
(:@0.791647:0.439390:0.798062:0.439390:0.798062:0.415783:0.791647:0.415783:0.000000
):@0.833626:0.439390:0.840041:0.439390:0.840041:0.415783:0.833626:0.415783:0.000000
×:@0.509842:0.412653:0.520418:0.412653:0.520418:0.396372:0.509842:0.396372:0.000000
+:@0.594975:0.412653:0.605551:0.412653:0.605551:0.396372:0.594975:0.396372:0.000000
+:@0.629672:0.412653:0.640248:0.412653:0.640248:0.396372:0.629672:0.396372:0.000000
+:@0.661459:0.412653:0.672036:0.412653:0.672036:0.396372:0.661459:0.396372:0.000000
+:@0.736517:0.412653:0.747093:0.412653:0.747093:0.396372:0.736517:0.396372:0.000000
+:@0.770963:0.412653:0.781540:0.412653:0.781540:0.396372:0.770963:0.396372:0.000000
+:@0.802751:0.412653:0.813327:0.412653:0.813327:0.396372:0.802751:0.396372:0.000000
+:@0.461678:0.436380:0.472255:0.436380:0.472255:0.420099:0.461678:0.420099:0.000000
+:@0.512770:0.436380:0.523347:0.436380:0.523347:0.420099:0.512770:0.420099:0.000000
+:@0.571567:0.436380:0.582144:0.436380:0.582144:0.420099:0.571567:0.420099:0.000000
+:@0.603355:0.436380:0.613932:0.436380:0.613932:0.420099:0.603355:0.420099:0.000000
+:@0.670246:0.436385:0.680822:0.436385:0.680822:0.420104:0.670246:0.420104:0.000000
+:@0.778979:0.436385:0.789556:0.436385:0.789556:0.420104:0.778979:0.420104:0.000000
−:@0.637944:0.438336:0.644066:0.438336:0.644066:0.428912:0.637944:0.428912:0.000000
−:@0.715899:0.438336:0.722020:0.438336:0.722020:0.428912:0.715899:0.428912:0.000000
+−:@0.751860:0.428084:0.770548:0.428084:0.770548:0.418660:0.751860:0.418660:0.000000:0.000000
+:@0.856610:0.428084:0.862731:0.428084:0.862731:0.418660:0.856610:0.418660:0.000000
   :@0.876562:0.445562:0.893380:0.445562:0.893380:0.429064:0.876562:0.429064:0.000000:0.000000:0.000000
Nótese que el producto de dos polinomios es otro polinomio, es decir :@0.404235:0.462912:0.895837:0.462912:0.895837:0.446415:0.404235:0.446415:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que si :@0.404235:0.481131:0.450125:0.481131:0.450125:0.464633:0.404235:0.464633:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P, Q :@0.450665:0.481246:0.481296:0.481246:0.481296:0.464778:0.450665:0.464778:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.481836:0.480914:0.497884:0.480914:0.497884:0.466267:0.481836:0.466267:0.000000
[ ]:@0.512095:0.483077:0.539278:0.483077:0.539278:0.462378:0.512095:0.462378:0.000000:0.000000:0.000000
 :@0.501206:0.484744:0.532685:0.484744:0.532685:0.463402:0.501206:0.463402:0.000000:0.000000:0.000000
, entonces, :@0.541837:0.481129:0.621131:0.481129:0.621131:0.464632:0.541837:0.464632:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P, Q :@0.621670:0.481245:0.652302:0.481245:0.652302:0.464776:0.621670:0.464776:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.652842:0.480913:0.668890:0.480913:0.668890:0.466266:0.652842:0.466266:0.000000
[ ]:@0.683100:0.483077:0.710283:0.483077:0.710283:0.462378:0.683100:0.462378:0.000000:0.000000:0.000000
 :@0.672211:0.484744:0.703690:0.484744:0.703690:0.463402:0.672211:0.463402:0.000000:0.000000:0.000000
. Además, si :@0.712842:0.481129:0.800747:0.481129:0.800747:0.464632:0.712842:0.464632:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
grad (P) = m:@0.801287:0.481245:0.891776:0.481245:0.891776:0.464776:0.801287:0.464776:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  :@0.891776:0.481129:0.895920:0.481129:0.895920:0.464632:0.891776:0.464632:0.000000:0.000000
y :@0.404251:0.498480:0.416215:0.498480:0.416215:0.481983:0.404251:0.481983:0.000000:0.000000
grad (Q) = n:@0.416215:0.498596:0.502755:0.498596:0.502755:0.482127:0.416215:0.482127:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, entonces, :@0.502755:0.498480:0.581511:0.498480:0.581511:0.481983:0.502755:0.481983:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
grad (PQ) = m + n.:@0.581511:0.498596:0.713649:0.498596:0.713649:0.482127:0.581511:0.482127:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Se define la operación producto “.” en :@0.404251:0.534049:0.678197:0.534049:0.678197:0.517552:0.404251:0.517552:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
[ ]:@0.693337:0.535995:0.720521:0.535995:0.720521:0.515296:0.693337:0.515296:0.000000:0.000000:0.000000
 :@0.682448:0.537662:0.713928:0.537662:0.713928:0.516321:0.682448:0.516321:0.000000:0.000000:0.000000
como la función a cada :@0.723080:0.534048:0.895927:0.534048:0.895927:0.517550:0.723080:0.517550:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
par de polinomios :@0.404240:0.552266:0.540289:0.552266:0.540289:0.535769:0.404240:0.535769:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P, Q:@0.541002:0.552382:0.567665:0.552382:0.567665:0.535913:0.541002:0.535913:0.000000:0.000000:0.000000:0.000000
 de :@0.567667:0.552266:0.594522:0.552266:0.594522:0.535769:0.567667:0.535769:0.000000:0.000000:0.000000:0.000000
[ ]:@0.609820:0.554211:0.637003:0.554211:0.637003:0.533512:0.609820:0.533512:0.000000:0.000000:0.000000
 :@0.598931:0.555879:0.630410:0.555879:0.630410:0.534538:0.598931:0.534538:0.000000:0.000000:0.000000
 le asigna un único polinomio :@0.639562:0.552265:0.857836:0.552265:0.857836:0.535767:0.639562:0.535767:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P . Q:@0.858548:0.552381:0.891781:0.552381:0.891781:0.535912:0.858548:0.535912:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.891781:0.552265:0.895923:0.552265:0.895923:0.535767:0.891781:0.535767:0.000000
antes definido::@0.404237:0.569616:0.508441:0.569616:0.508441:0.553118:0.404237:0.553118:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Potencia de polinomios:@0.404236:0.606469:0.592837:0.606469:0.592837:0.588787:0.404236:0.588787:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sea :@0.404236:0.624043:0.432498:0.624043:0.432498:0.607545:0.404236:0.607545:0.000000:0.000000:0.000000:0.000000
P :@0.434078:0.624159:0.447005:0.624159:0.447005:0.607690:0.434078:0.607690:0.000000:0.000000
:@0.448585:0.623826:0.464633:0.623826:0.464633:0.609179:0.448585:0.609179:0.000000
[ ]:@0.478851:0.625989:0.506035:0.625989:0.506035:0.605290:0.478851:0.605290:0.000000:0.000000:0.000000
 :@0.467962:0.627657:0.499442:0.627657:0.499442:0.606316:0.467962:0.606316:0.000000:0.000000:0.000000
. Las potencias :@0.508594:0.624043:0.618386:0.624043:0.618386:0.607545:0.508594:0.607545:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P , P , P:@0.619966:0.624159:0.673383:0.624159:0.673383:0.607690:0.619966:0.607690:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.628759:0.617691:0.633712:0.617691:0.633712:0.608073:0.628759:0.608073:0.000000
1:@0.651073:0.617691:0.656026:0.617691:0.656026:0.608073:0.651073:0.608073:0.000000
2:@0.673385:0.617691:0.678338:0.617691:0.678338:0.608073:0.673385:0.608073:0.000000
, ... se definen a continuación. :@0.678339:0.624043:0.895898:0.624043:0.895898:0.607545:0.678339:0.607545:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para todo :@0.404233:0.641394:0.477980:0.641394:0.477980:0.624896:0.404233:0.624896:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t :@0.477980:0.641510:0.487786:0.641510:0.487786:0.625041:0.477980:0.625041:0.000000:0.000000
:@0.487786:0.641177:0.503834:0.641177:0.503834:0.626530:0.487786:0.626530:0.000000
  :@0.503451:0.644739:0.508055:0.644739:0.508055:0.635138:0.503451:0.635138:0.000000:0.000000
:@0.507831:0.640425:0.521741:0.640425:0.521741:0.626978:0.507831:0.626978:0.000000
,:@0.521356:0.641394:0.524110:0.641394:0.524110:0.624896:0.521356:0.624896:0.000000
( )( ) = 1   si   ( ) ≠ 0,:@0.585143:0.658745:0.743428:0.658745:0.743428:0.642247:0.585143:0.642247:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P t:@0.591096:0.658860:0.622423:0.658860:0.622423:0.642392:0.591096:0.642392:0.000000:0.000000:0.000000
0:@0.599899:0.652393:0.604852:0.652393:0.604852:0.642775:0.599899:0.642775:0.000000
P t:@0.686730:0.658860:0.707132:0.658860:0.707132:0.642392:0.686730:0.642392:0.000000:0.000000:0.000000
( )( ) =  ( ),:@0.585144:0.676095:0.676577:0.676095:0.676577:0.659598:0.585144:0.659598:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P t:@0.591097:0.676211:0.622423:0.676211:0.622423:0.659742:0.591097:0.659742:0.000000:0.000000:0.000000
1:@0.599899:0.669744:0.604852:0.669744:0.604852:0.660126:0.599899:0.660126:0.000000
P t:@0.647468:0.676211:0.667869:0.676211:0.667869:0.659742:0.647468:0.659742:0.000000:0.000000:0.000000
( )( ) =  ( )    ( ),:@0.585144:0.693446:0.720411:0.693446:0.720411:0.676948:0.585144:0.676948:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P t:@0.591097:0.693562:0.622423:0.693562:0.622423:0.677093:0.591097:0.677093:0.000000:0.000000:0.000000
2:@0.599899:0.687094:0.604852:0.687094:0.604852:0.677476:0.599899:0.677476:0.000000
P t:@0.647468:0.693562:0.667869:0.693562:0.667869:0.677093:0.647468:0.677093:0.000000:0.000000:0.000000
×:@0.677962:0.692186:0.687159:0.692186:0.687159:0.675803:0.677962:0.675803:0.000000
P t:@0.691301:0.693562:0.711703:0.693562:0.711703:0.677093:0.691301:0.677093:0.000000:0.000000:0.000000
( )( ) =  ( )     ( ).:@0.585130:0.710797:0.725365:0.710797:0.725365:0.694299:0.585130:0.694299:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P t:@0.591083:0.710913:0.622423:0.710913:0.622423:0.694444:0.591083:0.694444:0.000000:0.000000:0.000000
3:@0.599899:0.704445:0.604852:0.704445:0.604852:0.694827:0.599899:0.694827:0.000000
P t:@0.647468:0.710913:0.667869:0.710913:0.667869:0.694444:0.647468:0.694444:0.000000:0.000000:0.000000
2:@0.673821:0.704445:0.678774:0.704445:0.678774:0.694827:0.673821:0.694827:0.000000
×:@0.682916:0.709536:0.692113:0.709536:0.692113:0.693154:0.682916:0.693154:0.000000
P t:@0.696255:0.710913:0.716657:0.710913:0.716657:0.694444:0.696255:0.694444:0.000000:0.000000:0.000000
En general, si   :@0.404232:0.745498:0.510827:0.745498:0.510827:0.729001:0.404232:0.729001:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
k:@0.498439:0.745614:0.506685:0.745614:0.506685:0.729145:0.498439:0.729145:0.000000
 :@0.510827:0.745282:0.531306:0.745282:0.531306:0.730635:0.510827:0.730635:0.000000:0.000000
N:@0.531306:0.744530:0.546294:0.744530:0.546294:0.731083:0.531306:0.731083:0.000000
, para todo   :@0.546294:0.745498:0.637631:0.745498:0.637631:0.729001:0.546294:0.729001:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.627825:0.745614:0.633489:0.745614:0.633489:0.729145:0.627825:0.729145:0.000000
 :@0.637631:0.745282:0.658110:0.745282:0.658110:0.730635:0.637631:0.730635:0.000000:0.000000
:@0.658110:0.744530:0.672019:0.744530:0.672019:0.731083:0.658110:0.731083:0.000000
, (:@0.670863:0.745498:0.683713:0.745498:0.683713:0.729001:0.670863:0.729001:0.000000:0.000000:0.000000
P:@0.683713:0.745614:0.692498:0.745614:0.692498:0.729145:0.683713:0.729145:0.000000
k+1:@0.692498:0.739147:0.708616:0.739147:0.708616:0.729529:0.692498:0.729529:0.000000:0.000000:0.000000
)( ) = ( )( ) ( ).:@0.708616:0.745498:0.825876:0.745498:0.825876:0.729001:0.708616:0.729001:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.720521:0.745614:0.726185:0.745614:0.726185:0.729145:0.720521:0.729145:0.000000
P t P t:@0.757183:0.745614:0.817169:0.745614:0.817169:0.729145:0.757183:0.729145:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
k:@0.765966:0.739147:0.770829:0.739147:0.770829:0.729529:0.765966:0.729529:0.000000
 :@0.794351:0.739147:0.796766:0.739147:0.796766:0.729529:0.794351:0.729529:0.000000
Ejemplos:@0.404237:0.780576:0.468005:0.780576:0.468005:0.763789:0.404237:0.763789:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.:@0.404237:0.797768:0.416509:0.797768:0.416509:0.781053:0.404237:0.781053:0.000000:0.000000
   Sea   el polinomio definido por  ( ) = 8  – 7 ,  :@0.416509:0.797551:0.770726:0.797551:0.770726:0.781053:0.416509:0.781053:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P:@0.456234:0.797666:0.465019:0.797666:0.465019:0.781198:0.456234:0.781198:0.000000
P t:@0.657228:0.797666:0.677630:0.797666:0.677630:0.781198:0.657228:0.781198:0.000000:0.000000:0.000000
t:@0.711171:0.797666:0.716835:0.797666:0.716835:0.781198:0.711171:0.781198:0.000000
6:@0.716838:0.791199:0.721791:0.791199:0.721791:0.781581:0.716838:0.781581:0.000000
t t :@0.749071:0.797666:0.780532:0.797666:0.780532:0.781198:0.749071:0.781198:0.000000:0.000000:0.000000:0.000000
4:@0.754733:0.791199:0.759686:0.791199:0.759686:0.781581:0.754733:0.781581:0.000000
:@0.780532:0.797334:0.796580:0.797334:0.796580:0.782687:0.780532:0.782687:0.000000
  :@0.796194:0.800896:0.800799:0.800896:0.800799:0.791295:0.796194:0.791295:0.000000:0.000000
:@0.800574:0.796582:0.814484:0.796582:0.814484:0.783135:0.800574:0.783135:0.000000
. Entonces, :@0.814099:0.797551:0.893144:0.797551:0.893144:0.781053:0.814099:0.781053:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P (t) = P t:@0.427965:0.820295:0.497818:0.820298:0.497818:0.803829:0.427965:0.803826:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.436764:0.813830:0.441717:0.813830:0.441717:0.804212:0.436764:0.804212:0.000000
( ) =  (8  – 7):@0.486201:0.820182:0.591777:0.820182:0.591777:0.803684:0.486201:0.803684:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.522863:0.820298:0.528527:0.820298:0.528527:0.803829:0.522863:0.803829:0.000000
4:@0.528526:0.813830:0.533479:0.813830:0.533479:0.804212:0.528526:0.804212:0.000000
t:@0.547927:0.820298:0.553590:0.820298:0.553590:0.803829:0.547927:0.803829:0.000000
2:@0.553590:0.813830:0.558544:0.813830:0.558544:0.804212:0.553590:0.804212:0.000000
,:@0.591777:0.820298:0.594628:0.820298:0.594628:0.803829:0.591777:0.803829:0.000000
P t:@0.427964:0.842926:0.453335:0.842929:0.453335:0.826460:0.427964:0.826457:0.000000:0.000000:0.000000
2:@0.436764:0.836462:0.441717:0.836462:0.441717:0.826844:0.436764:0.826844:0.000000
( ) =  ( )  ( ) = [ (8  – 7)]  =  (8  – 7)  = 64  – 112  + 49 ,:@0.441718:0.842813:0.891770:0.842813:0.891770:0.826316:0.441718:0.826316:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P t P t:@0.478149:0.842929:0.528913:0.842929:0.528913:0.826460:0.478149:0.826460:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.559583:0.842929:0.565247:0.842929:0.565247:0.826460:0.559583:0.826460:0.000000
4:@0.565242:0.836462:0.570195:0.836462:0.570195:0.826844:0.565242:0.826844:0.000000
t:@0.584643:0.842929:0.590307:0.842929:0.590307:0.826460:0.584643:0.826460:0.000000
2:@0.590307:0.836462:0.595260:0.836462:0.595260:0.826844:0.590307:0.826844:0.000000
2:@0.634108:0.836462:0.639061:0.836462:0.639061:0.826844:0.634108:0.826844:0.000000
t:@0.657922:0.842929:0.663586:0.842929:0.663586:0.826460:0.657922:0.826460:0.000000
8:@0.663577:0.836462:0.668530:0.836462:0.668530:0.826844:0.663577:0.826844:0.000000
t:@0.682979:0.842929:0.688643:0.842929:0.688643:0.826460:0.682979:0.826460:0.000000
2:@0.688642:0.836462:0.693595:0.836462:0.693595:0.826844:0.688642:0.826844:0.000000
2:@0.726587:0.836462:0.731541:0.836462:0.731541:0.826844:0.726587:0.826844:0.000000
t:@0.767394:0.842929:0.773058:0.842929:0.773058:0.826460:0.767394:0.826460:0.000000
12:@0.773049:0.836462:0.782955:0.836462:0.782955:0.826844:0.773049:0.826844:0.000000:0.000000
t:@0.826995:0.842929:0.832659:0.842929:0.832659:0.826460:0.826995:0.826460:0.000000
10:@0.832649:0.836462:0.842555:0.836462:0.842555:0.826844:0.832649:0.826844:0.000000:0.000000
t:@0.878409:0.842929:0.884073:0.842929:0.884073:0.826460:0.878409:0.826460:0.000000
8:@0.884063:0.836462:0.889017:0.836462:0.889017:0.826844:0.884063:0.826844:0.000000
P t:@0.427979:0.865557:0.453335:0.865561:0.453335:0.849092:0.427979:0.849089:0.000000:0.000000:0.000000
3:@0.436764:0.859093:0.441717:0.859093:0.441717:0.849475:0.436764:0.849475:0.000000
( ) = ( )( ) ( ) :@0.441718:0.865445:0.552089:0.865445:0.552089:0.848947:0.441718:0.848947:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P t P t = t:@0.484333:0.865561:0.572780:0.865561:0.572780:0.849092:0.484333:0.849092:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.493116:0.859093:0.498069:0.859093:0.498069:0.849475:0.493116:0.849475:0.000000
8:@0.572777:0.859093:0.577730:0.859093:0.577730:0.849475:0.572777:0.849475:0.000000
(8  – 7)  [ (8  – 7)] =  (8  – 7):@0.577731:0.865445:0.818710:0.865445:0.818710:0.848947:0.577731:0.848947:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.592180:0.865561:0.597844:0.865561:0.597844:0.849092:0.592180:0.849092:0.000000
2:@0.597844:0.859093:0.602797:0.859093:0.602797:0.849475:0.597844:0.849475:0.000000
2:@0.636029:0.859093:0.640982:0.859093:0.640982:0.849475:0.636029:0.849475:0.000000
t:@0.650980:0.865561:0.656644:0.865561:0.656644:0.849092:0.650980:0.849092:0.000000
4:@0.656643:0.859093:0.661596:0.859093:0.661596:0.849475:0.656643:0.849475:0.000000
t:@0.676045:0.865561:0.681709:0.865561:0.681709:0.849092:0.676045:0.849092:0.000000
2:@0.681709:0.859093:0.686663:0.859093:0.686663:0.849475:0.681709:0.849475:0.000000
t:@0.744843:0.865561:0.750507:0.865561:0.750507:0.849092:0.744843:0.849092:0.000000
12:@0.750507:0.859093:0.760413:0.859093:0.760413:0.849475:0.750507:0.849475:0.000000:0.000000
t:@0.774861:0.865561:0.780525:0.865561:0.780525:0.849092:0.774861:0.849092:0.000000
2:@0.780525:0.859093:0.785478:0.859093:0.785478:0.849475:0.780525:0.849475:0.000000
3:@0.818709:0.859093:0.823662:0.859093:0.823662:0.849475:0.818709:0.849475:0.000000
 :@0.404236:0.888076:0.408378:0.888076:0.408378:0.871579:0.404236:0.871579:0.000000
= 512  + 1 344  + 1 176  + 343 .:@0.427971:0.888076:0.692464:0.888076:0.692464:0.871579:0.427971:0.871579:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.468409:0.888192:0.474073:0.888192:0.474073:0.871723:0.468409:0.871723:0.000000
18:@0.474080:0.881725:0.483987:0.881725:0.483987:0.872106:0.474080:0.872106:0.000000:0.000000
t:@0.541204:0.888192:0.546868:0.888192:0.546868:0.871723:0.541204:0.871723:0.000000
16:@0.546868:0.881725:0.556774:0.881725:0.556774:0.872106:0.546868:0.872106:0.000000:0.000000
t:@0.613991:0.888192:0.619655:0.888192:0.619655:0.871723:0.613991:0.871723:0.000000
14:@0.619654:0.881725:0.629560:0.881725:0.629560:0.872106:0.619654:0.872106:0.000000:0.000000
t:@0.674141:0.888192:0.679805:0.888192:0.679805:0.871723:0.674141:0.871723:0.000000
12:@0.679803:0.881725:0.689709:0.881725:0.689709:0.872106:0.679803:0.872106:0.000000:0.000000
Saberes previos:@0.199646:0.101454:0.307805:0.101454:0.307805:0.085981:0.199646:0.085981:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Qué es un polinomio de :@0.199884:0.130082:0.364101:0.130082:0.364101:0.115019:0.199884:0.115019:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
grado menor o igual que  ?:@0.153341:0.145924:0.326567:0.145924:0.326567:0.130861:0.153341:0.130861:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.312986:0.146030:0.321535:0.146030:0.321535:0.130993:0.312986:0.130993:0.000000
Desequilibrio cognitivo:@0.199646:0.189511:0.363493:0.189511:0.363493:0.174039:0.199646:0.174039:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cuál es la relación :@0.199884:0.218139:0.330838:0.218139:0.330838:0.203075:0.199884:0.203075:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
entre la multiplicación y la :@0.153341:0.233981:0.337278:0.233981:0.337278:0.218917:0.153341:0.218917:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
potenciación?:@0.153341:0.249823:0.248028:0.249823:0.248028:0.234759:0.153341:0.234759:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.199644:0.408341:0.297267:0.408341:0.297267:0.392868:0.199644:0.392868:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática:@0.199644:0.420909:0.283707:0.420909:0.283707:0.405436:0.199644:0.405436:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El producto de polino-:@0.199880:0.445383:0.347897:0.445383:0.347897:0.430320:0.199880:0.430320:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mios satisface las propiedades :@0.153337:0.461225:0.350731:0.461225:0.350731:0.446162:0.153337:0.446162:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
siguientes::@0.153337:0.477067:0.219405:0.477067:0.219405:0.462004:0.153337:0.462004:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i):@0.153337:0.496394:0.162959:0.496394:0.162959:0.481133:0.153337:0.481133:0.000000:0.000000
 :@0.162959:0.496302:0.166741:0.496302:0.166741:0.481265:0.162959:0.481265:0.000000
Conmutativa:@0.177084:0.496619:0.269816:0.496619:0.269816:0.481146:0.177084:0.481146:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
::@0.269822:0.496520:0.272577:0.496520:0.272577:0.480022:0.269822:0.480022:0.000000
 para todo :@0.272576:0.496199:0.344501:0.496199:0.344501:0.481136:0.272576:0.481136:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P, Q :@0.177097:0.512147:0.204573:0.512147:0.204573:0.497110:0.177097:0.497110:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.204573:0.511843:0.223271:0.511843:0.223271:0.498470:0.204573:0.498470:0.000000:0.000000
k:@0.223271:0.512147:0.230799:0.512147:0.230799:0.497110:0.223271:0.497110:0.000000
  :@0.230085:0.515096:0.234289:0.515096:0.234289:0.506330:0.230085:0.506330:0.000000:0.000000
:@0.234085:0.511157:0.246785:0.511157:0.246785:0.498879:0.234085:0.498879:0.000000
], :@0.246434:0.512041:0.257726:0.512041:0.257726:0.496978:0.246434:0.496978:0.000000:0.000000:0.000000
PQ = QP.:@0.257726:0.512147:0.314419:0.512147:0.314419:0.497110:0.257726:0.497110:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ii):@0.153347:0.548993:0.166856:0.548993:0.166856:0.533732:0.153347:0.533732:0.000000:0.000000:0.000000
 :@0.166856:0.548901:0.170638:0.548901:0.170638:0.533864:0.166856:0.533864:0.000000
Asociativa  :@0.177094:0.549217:0.256603:0.549221:0.256603:0.533749:0.177094:0.533745:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
::@0.250173:0.549119:0.252928:0.549119:0.252928:0.532622:0.250173:0.532622:0.000000
para todo  :@0.256603:0.548799:0.328527:0.548799:0.328527:0.533736:0.256603:0.533736:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P, Q , R :@0.177079:0.564746:0.219946:0.564746:0.219946:0.549710:0.177079:0.549710:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.219506:0.564443:0.238116:0.564443:0.238116:0.551069:0.219506:0.551069:0.000000:0.000000
k:@0.238116:0.564746:0.245645:0.564746:0.245645:0.549710:0.238116:0.549710:0.000000
  :@0.244773:0.567695:0.248927:0.567695:0.248927:0.558929:0.244773:0.558929:0.000000:0.000000
:@0.248670:0.563756:0.261370:0.563756:0.261370:0.551479:0.248670:0.551479:0.000000
], :@0.260930:0.564641:0.271695:0.564641:0.271695:0.549578:0.260930:0.549578:0.000000:0.000000:0.000000
P(QR) = (PQ)R. :@0.271256:0.564746:0.364991:0.564746:0.364991:0.549710:0.271256:0.549710:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   :@0.361492:0.564641:0.365274:0.564641:0.365274:0.549578:0.361492:0.549578:0.000000:0.000000:0.000000
iii):@0.153332:0.598305:0.170729:0.598305:0.170729:0.583044:0.153332:0.583044:0.000000:0.000000:0.000000:0.000000
 :@0.170729:0.598212:0.174511:0.598212:0.174511:0.583176:0.170729:0.583176:0.000000
Existencia del elemento :@0.177079:0.598529:0.345517:0.598529:0.345517:0.583057:0.177079:0.583057:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
unidad  :@0.177079:0.616008:0.233368:0.616003:0.233368:0.600530:0.177079:0.600536:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
::@0.226937:0.615901:0.229692:0.615901:0.229692:0.599403:0.226937:0.599403:0.000000
existe 1 :@0.233368:0.615580:0.284992:0.615580:0.284992:0.600517:0.233368:0.600517:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.284992:0.615382:0.299645:0.615382:0.299645:0.602009:0.284992:0.602009:0.000000
[ ]:@0.312157:0.617265:0.336621:0.617265:0.336621:0.598635:0.312157:0.598635:0.000000:0.000000:0.000000
 :@0.302356:0.618765:0.330688:0.618765:0.330688:0.599558:0.302356:0.599558:0.000000:0.000000:0.000000
,   :@0.337761:0.615580:0.351622:0.615580:0.351622:0.600517:0.337761:0.600517:0.000000:0.000000:0.000000:0.000000
tal que para todo :@0.177094:0.633059:0.293890:0.633059:0.293890:0.617996:0.177094:0.617996:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P :@0.293890:0.633165:0.305693:0.633165:0.305693:0.618128:0.293890:0.618128:0.000000:0.000000
:@0.305693:0.632861:0.320345:0.632861:0.320345:0.619488:0.305693:0.619488:0.000000
[ ]:@0.332849:0.634738:0.357314:0.634738:0.357314:0.616109:0.332849:0.616109:0.000000:0.000000:0.000000
 :@0.323049:0.636239:0.351381:0.636239:0.351381:0.617032:0.323049:0.617032:0.000000:0.000000:0.000000
, :@0.358454:0.633054:0.364751:0.633054:0.364751:0.617991:0.358454:0.617991:0.000000:0.000000
 1:@0.177083:0.648896:0.188622:0.648896:0.188622:0.633833:0.177083:0.633833:0.000000:0.000000
P = P.:@0.188622:0.649002:0.223204:0.649002:0.223204:0.633965:0.188622:0.633965:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
iv):@0.153336:0.682283:0.170504:0.682283:0.170504:0.667022:0.153336:0.667022:0.000000:0.000000:0.000000
 :@0.170504:0.682191:0.174286:0.682191:0.174286:0.667154:0.170504:0.667154:0.000000
Distributiva  :@0.177083:0.682508:0.267263:0.682511:0.267263:0.667039:0.177083:0.667035:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
::@0.260832:0.682410:0.263587:0.682410:0.263587:0.665912:0.260832:0.665912:0.000000
para todo  :@0.267263:0.682089:0.339186:0.682089:0.339186:0.667026:0.267263:0.667026:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P, Q :@0.177079:0.699674:0.204554:0.699674:0.204554:0.684637:0.177079:0.684637:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.204554:0.699370:0.219207:0.699370:0.219207:0.685997:0.204554:0.685997:0.000000
[ ]:@0.231725:0.701247:0.256190:0.701247:0.256190:0.682618:0.231725:0.682618:0.000000:0.000000:0.000000
 :@0.221925:0.702748:0.250256:0.702748:0.250256:0.683541:0.221925:0.683541:0.000000:0.000000:0.000000
,  :@0.257329:0.699563:0.267408:0.699563:0.267408:0.684500:0.257329:0.684500:0.000000:0.000000:0.000000
P Q + R:@0.177084:0.715511:0.227637:0.715511:0.227637:0.700474:0.177084:0.700474:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.185105:0.715405:0.190540:0.715405:0.190540:0.700342:0.185105:0.700342:0.000000
) = :@0.227637:0.715405:0.250504:0.715405:0.250504:0.700342:0.227637:0.700342:0.000000:0.000000:0.000000:0.000000
PQ + PR:@0.250504:0.715511:0.303767:0.715511:0.303767:0.700474:0.250504:0.700474:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.303767:0.715405:0.306282:0.715405:0.306282:0.700342:0.303767:0.700342:0.000000