250:@0.026565:0.967627:0.050760:0.967627:0.050760:0.951847:0.026565:0.951847:0.000000:0.000000:0.000000
M.5.1.40. Aplicar las operaciones entre polinomios de grados ≤ 4, esquema de Hörner, teorema del residuo y sus respectivas propiedades para factorizar polinomios :@0.143128:0.947976:0.893649:0.947976:0.893649:0.937934:0.143128:0.937934:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de grados ≤ 4 y reescribir los polinomios.:@0.143128:0.956777:0.319716:0.956777:0.319716:0.946735:0.143128:0.946735:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
División de polinomios. Teorema :@0.404235:0.110956:0.812775:0.110956:0.812775:0.066296:0.404235:0.066296:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del residuo:@0.404235:0.148675:0.540029:0.148675:0.540029:0.104015:0.404235:0.104015:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La división de números enteros tiene una estrecha analogía con la :@0.404236:0.179632:0.895912:0.179632:0.895912:0.163135:0.404236:0.163135:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
división de polinomios que se describe a continuación.:@0.404236:0.196983:0.792753:0.196983:0.792753:0.180486:0.404236:0.180486:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sean :@0.404236:0.231685:0.442035:0.231685:0.442035:0.215187:0.404236:0.215187:0.000000:0.000000:0.000000:0.000000:0.000000
p, q:@0.441495:0.231800:0.465962:0.231800:0.465962:0.215332:0.441495:0.215332:0.000000:0.000000:0.000000:0.000000
 dos polinomios reales no nulos, esto es, :@0.465962:0.231685:0.749616:0.231685:0.749616:0.215187:0.465962:0.215187:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p, q :@0.749077:0.231800:0.777685:0.231800:0.777685:0.215332:0.749077:0.215332:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.777146:0.231468:0.798010:0.231468:0.798010:0.216821:0.777146:0.216821:0.000000:0.000000
:@0.797305:0.234764:0.808017:0.234764:0.808017:0.213423:0.797305:0.213423:0.000000
[ ]; se trata :@0.808017:0.231685:0.895943:0.231685:0.895943:0.215187:0.808017:0.215187:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.813873:0.230716:0.827783:0.230716:0.827783:0.217269:0.813873:0.217269:0.000000
de un proceso que permite encontrar :@0.404255:0.249035:0.675952:0.249035:0.675952:0.232538:0.404255:0.232538:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c, r :@0.675971:0.249151:0.700495:0.249151:0.700495:0.232682:0.675971:0.232682:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.700515:0.248819:0.721379:0.248819:0.721379:0.234172:0.700515:0.234172:0.000000:0.000000
:@0.721342:0.252115:0.732054:0.252115:0.732054:0.230774:0.721342:0.230774:0.000000
[ ], con grado del po-:@0.732054:0.249035:0.891817:0.249035:0.891817:0.232538:0.732054:0.232538:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.737910:0.248067:0.751820:0.248067:0.751820:0.234620:0.737910:0.234620:0.000000
linomio   menor que el grado del polinomio   tal que :@0.404255:0.266386:0.791776:0.266386:0.791776:0.249889:0.404255:0.249889:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r:@0.463554:0.266502:0.469584:0.266502:0.469584:0.250033:0.463554:0.250033:0.000000
q,:@0.722627:0.266502:0.734340:0.266502:0.734340:0.250033:0.722627:0.250033:0.000000:0.000000
p x  = c x q x:@0.536126:0.283853:0.633107:0.283853:0.633107:0.267384:0.536126:0.267384:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.545393:0.283737:0.564774:0.283737:0.564774:0.267239:0.545393:0.267239:0.000000:0.000000:0.000000
( ) ( ) + ( )   :@0.591128:0.283737:0.698840:0.283737:0.698840:0.267239:0.591128:0.267239:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 r x , :@0.654010:0.283853:0.690556:0.283853:0.690556:0.267384:0.654010:0.267384:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∀:@0.698814:0.283734:0.710758:0.283734:0.710758:0.267351:0.698814:0.267351:0.000000
x:@0.710758:0.283853:0.718233:0.283853:0.718233:0.267384:0.710758:0.267384:0.000000
 :@0.718233:0.283737:0.722375:0.283737:0.722375:0.267239:0.718233:0.267239:0.000000
 :@0.722375:0.283520:0.743239:0.283520:0.743239:0.268873:0.722375:0.268873:0.000000:0.000000
:@0.743239:0.282768:0.757149:0.282768:0.757149:0.269321:0.743239:0.269321:0.000000
.:@0.757149:0.283737:0.759904:0.283737:0.759904:0.267239:0.757149:0.267239:0.000000
A   se le llama dividendo,   se llama divisor,   se llama cociente,   se  :@0.404229:0.318439:0.895897:0.318439:0.895897:0.301941:0.404229:0.301941:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.420970:0.318554:0.430237:0.318554:0.430237:0.302085:0.420970:0.302085:0.000000
q:@0.593681:0.318554:0.602851:0.318554:0.602851:0.302085:0.593681:0.302085:0.000000
c:@0.723413:0.318554:0.730599:0.318554:0.730599:0.302085:0.723413:0.302085:0.000000
r:@0.866246:0.318554:0.872276:0.318554:0.872276:0.302085:0.866246:0.302085:0.000000
llama residuo. Se prueba que dados :@0.404229:0.335789:0.661285:0.335789:0.661285:0.319292:0.404229:0.319292:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p, q :@0.661747:0.335905:0.691358:0.335905:0.691358:0.319436:0.661747:0.319436:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.691820:0.335572:0.712685:0.335572:0.712685:0.320925:0.691820:0.320925:0.000000:0.000000
:@0.713263:0.338869:0.723974:0.338869:0.723974:0.317528:0.713263:0.317528:0.000000
[ ], siempre se pueden :@0.723974:0.335789:0.895895:0.335789:0.895895:0.319292:0.723974:0.319292:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.729831:0.334821:0.743740:0.334821:0.743740:0.321374:0.729831:0.321374:0.000000
hallar los polinomios   y   que satisfacen la condición anterior. Cuando:@0.404229:0.353140:0.891850:0.353140:0.891850:0.336642:0.404229:0.336642:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c r:@0.552839:0.353256:0.580157:0.353256:0.580157:0.336787:0.552839:0.336787:0.000000:0.000000:0.000000
   :@0.891755:0.353256:0.895897:0.353256:0.895897:0.336787:0.891755:0.336787:0.000000:0.000000:0.000000
r x  :@0.404229:0.370606:0.433782:0.370606:0.433782:0.354138:0.404229:0.354138:0.000000:0.000000:0.000000:0.000000:0.000000
( ) = 0     :@0.410259:0.370491:0.494956:0.370491:0.494956:0.353993:0.410259:0.353993:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, :@0.456765:0.370606:0.463758:0.370606:0.463758:0.354138:0.456765:0.354138:0.000000:0.000000
∀:@0.471395:0.370488:0.483339:0.370488:0.483339:0.354105:0.471395:0.354105:0.000000
x:@0.483339:0.370606:0.490814:0.370606:0.490814:0.354138:0.483339:0.354138:0.000000
 :@0.494725:0.370274:0.515589:0.370274:0.515589:0.355627:0.494725:0.355627:0.000000:0.000000
:@0.515339:0.369522:0.529248:0.369522:0.529248:0.356075:0.515339:0.356075:0.000000
, decimos que el polinomio   divide al polinomio  , :@0.529248:0.370491:0.895843:0.370491:0.895843:0.353993:0.529248:0.353993:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
q:@0.725405:0.370606:0.734576:0.370606:0.734576:0.354138:0.725405:0.354138:0.000000
p:@0.879680:0.370606:0.888946:0.370606:0.888946:0.354138:0.879680:0.354138:0.000000
y escribimos :@0.404236:0.391948:0.496553:0.391948:0.496553:0.375450:0.404236:0.375450:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.499043:0.384525:0.508310:0.384525:0.508310:0.368056:0.499043:0.368056:0.000000
q:@0.499082:0.400863:0.508252:0.400863:0.508252:0.384395:0.499082:0.384395:0.000000
 = :@0.510394:0.391632:0.527017:0.391632:0.527017:0.376569:0.510394:0.376569:0.000000:0.000000:0.000000
c:@0.526612:0.391738:0.533174:0.391738:0.533174:0.376701:0.526612:0.376701:0.000000
, o también,:@0.532769:0.391953:0.615954:0.391953:0.615954:0.375455:0.532769:0.375455:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p(x):@0.502162:0.416679:0.529769:0.416679:0.529769:0.400210:0.502162:0.400210:0.000000:0.000000:0.000000:0.000000
q(x):@0.502201:0.433018:0.529712:0.433018:0.529712:0.416549:0.502201:0.416549:0.000000:0.000000:0.000000:0.000000
 = :@0.532181:0.423787:0.548804:0.423787:0.548804:0.408723:0.532181:0.408723:0.000000:0.000000:0.000000
c(x),   :@0.548399:0.423892:0.582823:0.423892:0.582823:0.408855:0.548399:0.408855:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∀:@0.582416:0.424104:0.594361:0.424104:0.594361:0.407721:0.582416:0.407721:0.000000
x:@0.594361:0.424223:0.601836:0.424223:0.601836:0.407754:0.594361:0.407754:0.000000
 :@0.601836:0.424107:0.605978:0.424107:0.605978:0.407609:0.601836:0.407609:0.000000
 :@0.605978:0.423890:0.626842:0.423890:0.626842:0.409243:0.605978:0.409243:0.000000:0.000000
:@0.626842:0.423138:0.640752:0.423138:0.640752:0.409692:0.626842:0.409692:0.000000
, siempre que :@0.640752:0.424107:0.739062:0.424107:0.739062:0.407609:0.640752:0.407609:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
q(x) ≠ 0.:@0.739062:0.424223:0.796665:0.424223:0.796665:0.407754:0.739062:0.407754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si :@0.404232:0.456539:0.420184:0.456539:0.420184:0.440041:0.404232:0.440041:0.000000:0.000000:0.000000
p, q:@0.420723:0.456654:0.446269:0.456654:0.446269:0.440185:0.420723:0.440185:0.000000:0.000000:0.000000:0.000000
 son dos polinomios reales no nulos, tal que :@0.446269:0.456539:0.765781:0.456539:0.765781:0.440041:0.446269:0.440041:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
grad(p) < grad(q):@0.766320:0.456654:0.888961:0.456654:0.888961:0.440185:0.766320:0.440185:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, :@0.888961:0.456539:0.895858:0.456539:0.895858:0.440041:0.888961:0.440041:0.000000:0.000000
entonces   = 0     +  , con el cociente   = 0, residuo   =  .:@0.404232:0.473889:0.817468:0.473889:0.817468:0.457392:0.404232:0.457392:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.473084:0.474005:0.482351:0.474005:0.482351:0.457536:0.473084:0.457536:0.000000
× q r:@0.514080:0.474005:0.563400:0.474005:0.563400:0.457536:0.514080:0.457536:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.682033:0.474005:0.689219:0.474005:0.689219:0.457536:0.682033:0.457536:0.000000
r p:@0.780324:0.474005:0.814713:0.474005:0.814713:0.457536:0.780324:0.457536:0.000000:0.000000:0.000000
Ejercicios resueltos:@0.404232:0.508967:0.534887:0.508967:0.534887:0.492180:0.404232:0.492180:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.:@0.404232:0.526158:0.416504:0.526158:0.416504:0.509444:0.404232:0.509444:0.000000:0.000000
  Sean :@0.416504:0.525942:0.465765:0.525942:0.465765:0.509444:0.416504:0.509444:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p, c, q :@0.465765:0.526057:0.509247:0.526057:0.509247:0.509588:0.465765:0.509588:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los polinomios definidos como:@0.509247:0.525942:0.730196:0.525942:0.730196:0.509444:0.509247:0.509444:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  ( ) = 2  – 3,:@0.524332:0.566788:0.629404:0.566007:0.629404:0.549510:0.524332:0.550290:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p x:@0.537740:0.548772:0.560435:0.548772:0.560435:0.532304:0.537740:0.532304:0.000000:0.000000:0.000000
( ) = (2  – 3)(4  + 5),:@0.547007:0.548657:0.698162:0.548657:0.698162:0.532159:0.547007:0.532159:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.599697:0.548772:0.607172:0.548772:0.607172:0.532304:0.599697:0.532304:0.000000
x:@0.654623:0.548772:0.662097:0.548772:0.662097:0.532304:0.654623:0.532304:0.000000
c x:@0.537740:0.566123:0.558354:0.566123:0.558354:0.549654:0.537740:0.549654:0.000000:0.000000:0.000000
x:@0.591895:0.566123:0.599370:0.566123:0.599370:0.549654:0.591895:0.549654:0.000000
q x:@0.537740:0.583474:0.560338:0.583474:0.560338:0.567005:0.537740:0.567005:0.000000:0.000000:0.000000
( ) = 4  + 5,:@0.546910:0.583358:0.631697:0.583358:0.631697:0.566860:0.546910:0.566860:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.593879:0.583474:0.601354:0.583474:0.601354:0.567005:0.593879:0.567005:0.000000
   :@0.698157:0.566797:0.710583:0.566797:0.710583:0.550299:0.698157:0.550299:0.000000:0.000000:0.000000
∀:@0.710582:0.566794:0.722527:0.566794:0.722527:0.550411:0.710582:0.550411:0.000000
x:@0.722527:0.566913:0.730002:0.566913:0.730002:0.550444:0.722527:0.550444:0.000000
 :@0.730002:0.566797:0.734144:0.566797:0.734144:0.550299:0.730002:0.550299:0.000000
 :@0.734144:0.566580:0.755008:0.566580:0.755008:0.551933:0.734144:0.551933:0.000000:0.000000
:@0.755008:0.565828:0.768917:0.565828:0.768917:0.552381:0.755008:0.552381:0.000000
. :@0.768917:0.566797:0.775814:0.566797:0.775814:0.550299:0.768917:0.550299:0.000000:0.000000
Entonces,:@0.427980:0.608627:0.495985:0.608627:0.495985:0.592129:0.427980:0.592129:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p x:@0.538255:0.626093:0.560949:0.626093:0.560949:0.609624:0.538255:0.609624:0.000000:0.000000:0.000000
( ) =  ( ) ( ) +  ( ),  :@0.547521:0.625977:0.696653:0.625977:0.696653:0.609480:0.547521:0.609480:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c x q x:@0.585994:0.626093:0.635159:0.626093:0.635159:0.609624:0.585994:0.609624:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r x:@0.660204:0.626093:0.679662:0.626093:0.679662:0.609624:0.660204:0.609624:0.000000:0.000000:0.000000
∀:@0.696656:0.625974:0.708600:0.625974:0.708600:0.609591:0.696656:0.609591:0.000000
x:@0.708600:0.626093:0.716075:0.626093:0.716075:0.609624:0.708600:0.609624:0.000000
 :@0.716075:0.625977:0.720217:0.625977:0.720217:0.609479:0.716075:0.609479:0.000000
 :@0.720217:0.625760:0.741082:0.625760:0.741082:0.611113:0.720217:0.611113:0.000000:0.000000
:@0.741082:0.625008:0.754991:0.625008:0.754991:0.611561:0.741082:0.611561:0.000000
,:@0.754991:0.625977:0.757746:0.625977:0.757746:0.609479:0.754991:0.609479:0.000000
 :@0.404229:0.646885:0.408371:0.646885:0.408371:0.630387:0.404229:0.630387:0.000000
es decir que  divide a   siendo   el cociente, y :@0.427963:0.646885:0.767853:0.646885:0.767853:0.630387:0.427963:0.630387:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
q :@0.518356:0.647000:0.531668:0.647000:0.531668:0.630531:0.518356:0.630531:0.000000:0.000000
p,:@0.592084:0.647000:0.603778:0.647000:0.603778:0.630531:0.592084:0.630531:0.000000:0.000000
c:@0.659857:0.647000:0.667043:0.647000:0.667043:0.630531:0.659857:0.630531:0.000000
r(x) = 0,  x:@0.768238:0.647000:0.852011:0.647006:0.852011:0.630538:0.768238:0.630531:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.827999:0.646885:0.832141:0.646885:0.832141:0.630387:0.827999:0.630387:0.000000
∀:@0.832592:0.646888:0.844536:0.646888:0.844536:0.630505:0.832592:0.630505:0.000000
 :@0.852011:0.646891:0.856153:0.646891:0.856153:0.630393:0.852011:0.630393:0.000000
 :@0.856538:0.646674:0.877403:0.646674:0.877403:0.632027:0.856538:0.632027:0.000000:0.000000
 :@0.877865:0.645922:0.896591:0.645922:0.896591:0.632475:0.877865:0.632475:0.000000:0.000000
 :@0.891774:0.645922:0.896591:0.645922:0.896591:0.632475:0.891774:0.632475:0.000000
el residuo. Luego, :@0.427983:0.664242:0.553111:0.664242:0.553111:0.647744:0.427983:0.647744:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.404248:0.697309:0.408390:0.697309:0.408390:0.680812:0.404248:0.680812:0.000000
px:@0.469884:0.682777:0.494228:0.682777:0.494228:0.665593:0.469884:0.665593:0.000000:0.000000
qx:@0.469462:0.703990:0.493806:0.703990:0.493806:0.686806:0.469462:0.686806:0.000000:0.000000
x:@0.537108:0.682777:0.544908:0.682777:0.544908:0.665593:0.537108:0.665593:0.000000
x:@0.593657:0.682777:0.601457:0.682777:0.601457:0.665593:0.593657:0.665593:0.000000
x:@0.565795:0.703990:0.573595:0.703990:0.573595:0.686806:0.565795:0.686806:0.000000
x:@0.662650:0.692554:0.670450:0.692554:0.670450:0.675369:0.662650:0.675369:0.000000
c x:@0.714274:0.692554:0.736930:0.692554:0.736930:0.675369:0.714274:0.675369:0.000000:0.000000:0.000000
x:@0.768391:0.692554:0.776191:0.692554:0.776191:0.675369:0.768391:0.675369:0.000000
() (2:@0.479413:0.682657:0.535620:0.682657:0.535620:0.665442:0.479413:0.665442:0.000000:0.000000:0.000000:0.000000:0.000000
():@0.478990:0.703870:0.500480:0.703870:0.500480:0.686655:0.478990:0.686655:0.000000:0.000000
=:@0.505486:0.692433:0.516764:0.692433:0.516764:0.675218:0.505486:0.675218:0.000000
3)(4:@0.562759:0.682657:0.592149:0.682657:0.592149:0.665442:0.562759:0.665442:0.000000:0.000000:0.000000:0.000000
5):@0.618866:0.682657:0.633863:0.682657:0.633863:0.665442:0.618866:0.665442:0.000000:0.000000
4:@0.555422:0.703870:0.564287:0.703870:0.564287:0.686655:0.555422:0.686655:0.000000
5:@0.591024:0.703870:0.599889:0.703870:0.599889:0.686655:0.591024:0.686655:0.000000
=2:@0.638446:0.692433:0.661143:0.692433:0.661143:0.675218:0.638446:0.675218:0.000000:0.000000
3= (),:@0.688281:0.692433:0.746138:0.692440:0.746138:0.675225:0.688281:0.675218:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
\:@0.812216:0.692440:0.818005:0.692440:0.818005:0.675225:0.812216:0.675225:0.000000
5:@0.846350:0.682663:0.855216:0.682663:0.855216:0.665448:0.846350:0.665448:0.000000
4:@0.846551:0.703876:0.855417:0.703876:0.855417:0.686661:0.846551:0.686661:0.000000
.:@0.869750:0.692440:0.872625:0.692440:0.872625:0.675225:0.869750:0.675225:0.000000
−:@0.548674:0.683320:0.559710:0.683320:0.559710:0.666332:0.548674:0.666332:0.000000
+:@0.605223:0.683320:0.616260:0.683320:0.616260:0.666332:0.605223:0.666332:0.000000
+:@0.577360:0.704534:0.588397:0.704534:0.588397:0.687545:0.577360:0.687545:0.000000
−:@0.674211:0.693104:0.685248:0.693104:0.685248:0.676115:0.674211:0.676115:0.000000
∀ ∈:@0.754160:0.693104:0.794446:0.693104:0.794446:0.676115:0.754160:0.676115:0.000000:0.000000:0.000000
−:@0.831637:0.693104:0.842673:0.693104:0.842673:0.676115:0.831637:0.676115:0.000000
5:@0.844843:0.684302:0.853339:0.684302:0.853339:0.667804:0.844843:0.667804:0.000000
4:@0.844843:0.700640:0.853339:0.700640:0.853339:0.684143:0.844843:0.684143:0.000000
–:@0.826117:0.691965:0.836616:0.691965:0.836616:0.675467:0.826117:0.675467:0.000000
 :@0.864975:0.697315:0.869117:0.697315:0.869117:0.680817:0.864975:0.680817:0.000000
.:@0.869117:0.691025:0.871872:0.691025:0.871872:0.674528:0.869117:0.674528:0.000000
2.:@0.404227:0.732233:0.416499:0.732233:0.416499:0.715519:0.404227:0.715519:0.000000:0.000000
  Sean :@0.416499:0.732016:0.465760:0.732016:0.465760:0.715519:0.416499:0.715519:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p, c, q :@0.465760:0.732132:0.509242:0.732132:0.509242:0.715663:0.465760:0.715663:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los polinomios definidos como::@0.509242:0.732016:0.732944:0.732016:0.732944:0.715519:0.509242:0.715519:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.404227:0.781885:0.408369:0.781885:0.408369:0.765388:0.404227:0.765388:0.000000
p x:@0.437228:0.755339:0.459923:0.755339:0.459923:0.738870:0.437228:0.738870:0.000000:0.000000:0.000000
( ) = (  + 1)(  + 10) + 2,:@0.446495:0.755223:0.619634:0.755210:0.619634:0.738712:0.446495:0.738725:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.490150:0.755339:0.497625:0.755339:0.497625:0.738870:0.490150:0.738870:0.000000
2:@0.497644:0.748857:0.502597:0.748857:0.502597:0.739239:0.497644:0.739239:0.000000
x:@0.541321:0.755325:0.548796:0.755325:0.548796:0.738857:0.541321:0.738857:0.000000
c x:@0.437231:0.772676:0.457845:0.772676:0.457845:0.756207:0.437231:0.756207:0.000000:0.000000:0.000000
( ) =   + 10,:@0.444417:0.772561:0.529203:0.772561:0.529203:0.756063:0.444417:0.756063:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.482890:0.772676:0.490364:0.772676:0.490364:0.756207:0.482890:0.756207:0.000000
q x:@0.437231:0.790027:0.459829:0.790027:0.459829:0.773558:0.437231:0.773558:0.000000:0.000000:0.000000
( ) =   + 1,:@0.446401:0.789911:0.527650:0.789911:0.527650:0.773414:0.446401:0.773414:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.484874:0.790027:0.492349:0.790027:0.492349:0.773558:0.484874:0.773558:0.000000
2:@0.492355:0.783558:0.497309:0.783558:0.497309:0.773940:0.492355:0.773940:0.000000
r x:@0.437238:0.807378:0.456696:0.807378:0.456696:0.790909:0.437238:0.790909:0.000000:0.000000:0.000000
( ) = 2,:@0.443268:0.807262:0.492992:0.807262:0.492992:0.790764:0.443268:0.790764:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
    :@0.619665:0.781878:0.636233:0.781878:0.636233:0.765381:0.619665:0.765381:0.000000:0.000000:0.000000:0.000000
∀:@0.645471:0.781875:0.657415:0.781875:0.657415:0.765493:0.645471:0.765493:0.000000
x:@0.657415:0.781994:0.664890:0.781994:0.664890:0.765525:0.657415:0.765525:0.000000
 :@0.664890:0.781878:0.669032:0.781878:0.669032:0.765381:0.664890:0.765381:0.000000
 :@0.669032:0.781662:0.689896:0.781662:0.689896:0.767015:0.669032:0.767015:0.000000:0.000000
:@0.689896:0.780910:0.703806:0.780910:0.703806:0.767463:0.689896:0.767463:0.000000
. :@0.703806:0.781878:0.710703:0.781878:0.710703:0.765381:0.703806:0.765381:0.000000:0.000000
Entonces,:@0.427966:0.833931:0.495970:0.833931:0.495970:0.817433:0.427966:0.817433:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p x:@0.538240:0.851397:0.560935:0.851397:0.560935:0.834928:0.538240:0.834928:0.000000:0.000000:0.000000
( ) =  ( ) ( ) +  ( ),  :@0.547507:0.851281:0.696639:0.851281:0.696639:0.834784:0.547507:0.834784:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c x q x:@0.585980:0.851397:0.635145:0.851397:0.635145:0.834928:0.585980:0.834928:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r x:@0.660189:0.851397:0.679647:0.851397:0.679647:0.834928:0.660189:0.834928:0.000000:0.000000:0.000000
∀:@0.696656:0.851278:0.708600:0.851278:0.708600:0.834896:0.696656:0.834896:0.000000
x:@0.708600:0.851397:0.716075:0.851397:0.716075:0.834928:0.708600:0.834928:0.000000
 :@0.716075:0.851281:0.720217:0.851281:0.720217:0.834784:0.716075:0.834784:0.000000
 :@0.720217:0.851065:0.741082:0.851065:0.741082:0.836418:0.720217:0.836418:0.000000:0.000000
:@0.741082:0.850313:0.754991:0.850313:0.754991:0.836866:0.741082:0.836866:0.000000
.:@0.754991:0.851281:0.757746:0.851281:0.757746:0.834784:0.754991:0.834784:0.000000
 :@0.404229:0.872189:0.408371:0.872189:0.408371:0.855691:0.404229:0.855691:0.000000
La división de   para   tiene como cociente  , y residuo  , siendo :@0.427963:0.872189:0.895834:0.872189:0.895834:0.855691:0.427963:0.855691:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.530589:0.872305:0.539856:0.872305:0.539856:0.855836:0.530589:0.855836:0.000000
q:@0.580564:0.872305:0.589734:0.872305:0.589734:0.855836:0.580564:0.855836:0.000000
c:@0.746705:0.872305:0.753891:0.872305:0.753891:0.855836:0.746705:0.855836:0.000000
r:@0.831162:0.872305:0.837192:0.872305:0.837192:0.855836:0.831162:0.855836:0.000000
el grado de   menor que el grado de  . Luego, :@0.427963:0.889540:0.753943:0.889540:0.753943:0.873042:0.427963:0.873042:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r:@0.511207:0.889655:0.517237:0.889655:0.517237:0.873187:0.511207:0.873187:0.000000
q:@0.687769:0.889655:0.696939:0.889655:0.696939:0.873187:0.687769:0.873187:0.000000
px:@0.536076:0.908082:0.560420:0.908082:0.560420:0.890897:0.536076:0.890897:0.000000:0.000000
qx:@0.535654:0.929295:0.559998:0.929295:0.559998:0.912110:0.535654:0.912110:0.000000:0.000000
x:@0.586755:0.917859:0.594555:0.917859:0.594555:0.900674:0.586755:0.900674:0.000000
x:@0.649255:0.929295:0.657055:0.929295:0.657055:0.912110:0.649255:0.912110:0.000000
x:@0.717987:0.917859:0.725787:0.917859:0.725787:0.900674:0.717987:0.900674:0.000000
():@0.545585:0.907961:0.567075:0.907961:0.567075:0.890746:0.545585:0.890746:0.000000:0.000000
():@0.545162:0.929174:0.566652:0.929174:0.566652:0.911959:0.545162:0.911959:0.000000:0.000000
=:@0.571658:0.917738:0.582936:0.917738:0.582936:0.900523:0.571658:0.900523:0.000000
10:@0.611542:0.917738:0.629212:0.917738:0.629212:0.900523:0.611542:0.900523:0.000000:0.000000
2:@0.663789:0.907961:0.672655:0.907961:0.672655:0.890746:0.663789:0.890746:0.000000
1:@0.681701:0.929174:0.690566:0.929174:0.690566:0.911959:0.681701:0.911959:0.000000
,:@0.692868:0.917745:0.695743:0.917745:0.695743:0.900530:0.692868:0.900530:0.000000
.:@0.759348:0.917745:0.762223:0.917745:0.762223:0.900530:0.759348:0.900530:0.000000
2:@0.658316:0.920797:0.663442:0.920797:0.663442:0.910845:0.658316:0.910845:0.000000
+:@0.598321:0.918409:0.609358:0.918409:0.609358:0.901420:0.598321:0.901420:0.000000
+:@0.632355:0.918409:0.643392:0.918409:0.643392:0.901420:0.632355:0.901420:0.000000
+:@0.668480:0.929845:0.679517:0.929845:0.679517:0.912856:0.668480:0.912856:0.000000
∀∈:@0.703761:0.918409:0.744067:0.918409:0.744067:0.901420:0.703761:0.901420:0.000000:0.000000
Saberes previos:@0.199646:0.099355:0.307805:0.099355:0.307805:0.083883:0.199646:0.083883:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Qué significa que el :@0.199884:0.127983:0.336048:0.127983:0.336048:0.112919:0.199884:0.112919:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
grado de un polinomio sea ≤ 4?:@0.153341:0.143825:0.359035:0.143825:0.359035:0.128761:0.153341:0.128761:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cuál es el opuesto aditivo de :@0.153341:0.166795:0.348395:0.166795:0.348395:0.151732:0.153341:0.151732:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
un polinomio? ¿Cuándo dos :@0.153341:0.182637:0.340125:0.182637:0.340125:0.167574:0.153341:0.167574:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
polinomios son iguales?:@0.153341:0.198479:0.306967:0.198479:0.306967:0.183416:0.153341:0.183416:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Desequilibrio cognitivo:@0.199646:0.266794:0.363493:0.266794:0.363493:0.251321:0.199646:0.251321:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Qué funciones im-:@0.199884:0.295421:0.326919:0.295421:0.326919:0.280358:0.199884:0.280358:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
portantes se aproximan con :@0.153341:0.311263:0.339213:0.311263:0.339213:0.296200:0.153341:0.296200:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
polinomios?:@0.153341:0.327105:0.232510:0.327105:0.232510:0.312042:0.153341:0.312042:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.199644:0.387362:0.297267:0.387362:0.297267:0.371890:0.199644:0.371890:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática:@0.199644:0.399930:0.283707:0.399930:0.283707:0.384458:0.199644:0.384458:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Al realizar la división de 35 :@0.199880:0.424405:0.362866:0.424405:0.362866:0.409342:0.199880:0.409342:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para 8, se obtiene por cociente 4  :@0.153337:0.440247:0.358015:0.440247:0.358015:0.425184:0.153337:0.425184:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y residuo 3, que se escribe :@0.153337:0.456089:0.314372:0.456089:0.314372:0.441026:0.153337:0.441026:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
35 = 4 × 8 + 3, o en forma  :@0.153337:0.471931:0.318472:0.471931:0.318472:0.456868:0.153337:0.456868:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
equivalente, :@0.153337:0.492130:0.229854:0.492130:0.229854:0.477067:0.153337:0.477067:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
35:@0.233569:0.484869:0.249084:0.484869:0.249084:0.469806:0.233569:0.469806:0.000000:0.000000
8:@0.237439:0.501212:0.245196:0.501212:0.245196:0.486149:0.237439:0.486149:0.000000
 = 4 +   .:@0.252778:0.492130:0.315679:0.492130:0.315679:0.477067:0.252778:0.477067:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.297508:0.484869:0.305266:0.484869:0.305266:0.469806:0.297508:0.469806:0.000000
8:@0.297508:0.501212:0.305266:0.501212:0.305266:0.486149:0.297508:0.486149:0.000000
De manera similar, si dividimos  :@0.153341:0.523814:0.360111:0.523814:0.360111:0.508751:0.153341:0.508751:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
32 para 8, se obtiene por cociente :@0.153341:0.539656:0.362393:0.539656:0.362393:0.524592:0.153341:0.524592:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4 y residuo 0. Así::@0.153341:0.555498:0.257067:0.555498:0.257067:0.540434:0.153341:0.540434:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
32 = 4 × 8     :@0.186463:0.575696:0.279348:0.575709:0.279348:0.560646:0.186463:0.560633:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
32:@0.283058:0.568441:0.298572:0.568441:0.298572:0.553378:0.283058:0.553378:0.000000:0.000000
8:@0.286928:0.584785:0.294685:0.584785:0.294685:0.569722:0.286928:0.569722:0.000000
 = 4.:@0.302266:0.575702:0.328352:0.575702:0.328352:0.560639:0.302266:0.560639:0.000000:0.000000:0.000000:0.000000:0.000000
En este caso decimos que 8 divide :@0.153331:0.607386:0.365180:0.607386:0.365180:0.592323:0.153331:0.592323:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a 32. De manera general, dados :@0.153331:0.623228:0.346011:0.623228:0.346011:0.608165:0.153331:0.608165:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dos números enteros positivos :@0.153331:0.639070:0.343335:0.639070:0.343335:0.624007:0.153331:0.624007:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a, :@0.342931:0.639176:0.356825:0.639176:0.356825:0.624139:0.342931:0.624139:0.000000:0.000000:0.000000
b:@0.153331:0.655018:0.161792:0.655018:0.161792:0.639981:0.153331:0.639981:0.000000
 con :@0.161388:0.654912:0.191941:0.654912:0.191941:0.639849:0.161388:0.639849:0.000000:0.000000:0.000000:0.000000:0.000000
a ≥ b, :@0.191537:0.655018:0.229269:0.655018:0.229269:0.639981:0.191537:0.639981:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
al realizar la división :@0.228865:0.654912:0.351221:0.654912:0.351221:0.639849:0.228865:0.639849:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de   para   se obtiene el cociente :@0.153331:0.670754:0.360929:0.670754:0.360929:0.655691:0.153331:0.655691:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.172205:0.670860:0.180402:0.670860:0.180402:0.655823:0.172205:0.655823:0.000000
b:@0.213648:0.670860:0.222108:0.670860:0.222108:0.655823:0.213648:0.655823:0.000000
c:@0.153331:0.686702:0.159892:0.686702:0.159892:0.671665:0.153331:0.671665:0.000000
:@0.159488:0.686398:0.174140:0.686398:0.174140:0.673025:0.159488:0.673025:0.000000
Z:@0.174140:0.685712:0.185873:0.685712:0.185873:0.673434:0.174140:0.673434:0.000000
+:@0.185480:0.678289:0.191233:0.678289:0.191233:0.669507:0.185480:0.669507:0.000000
 y un residuo :@0.190997:0.686603:0.273459:0.686603:0.273459:0.671540:0.190997:0.671540:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r:@0.273054:0.686708:0.278560:0.686708:0.278560:0.671672:0.273054:0.671672:0.000000
:@0.278155:0.686405:0.292808:0.686405:0.292808:0.673031:0.278155:0.673031:0.000000
Z:@0.292808:0.685718:0.304540:0.685718:0.304540:0.673441:0.292808:0.673441:0.000000
+:@0.304134:0.678289:0.309887:0.678289:0.309887:0.669507:0.304134:0.669507:0.000000
, de :@0.309652:0.686603:0.334822:0.686603:0.334822:0.671540:0.309652:0.671540:0.000000:0.000000:0.000000:0.000000:0.000000
modo que 0 :@0.153347:0.702445:0.233292:0.702445:0.233292:0.687382:0.153347:0.687382:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
≤ r < b,:@0.232888:0.702550:0.277461:0.702550:0.277461:0.687514:0.232888:0.687514:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.155977:0.716799:0.164955:0.716799:0.164955:0.700330:0.155977:0.700330:0.000000
b:@0.155823:0.733138:0.165090:0.733138:0.165090:0.716669:0.155823:0.716669:0.000000
 =   +          =   +  .:@0.167185:0.723907:0.315469:0.723907:0.315469:0.708844:0.167185:0.708844:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.183403:0.724012:0.189964:0.724012:0.189964:0.708976:0.183403:0.708976:0.000000
r:@0.209885:0.716799:0.215915:0.716799:0.215915:0.700330:0.209885:0.700330:0.000000
b:@0.208267:0.733138:0.217533:0.733138:0.217533:0.716669:0.208267:0.716669:0.000000
a cb r:@0.253622:0.724012:0.313358:0.724012:0.313358:0.708976:0.253622:0.708976:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El número entero   se llama :@0.153341:0.755591:0.326990:0.755591:0.326990:0.740528:0.153341:0.740528:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.263086:0.755696:0.271282:0.755696:0.271282:0.740660:0.263086:0.740660:0.000000
dividendo y  se llama divisor. :@0.153341:0.771433:0.337472:0.771433:0.337472:0.756370:0.153341:0.756370:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b :@0.228889:0.771538:0.240727:0.771538:0.240727:0.756502:0.228889:0.756502:0.000000:0.000000
Cuando   = 0 se dice que  :@0.153341:0.787275:0.323558:0.787275:0.323558:0.772212:0.153341:0.772212:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r:@0.209190:0.787380:0.214695:0.787380:0.214695:0.772344:0.209190:0.772344:0.000000
b:@0.153341:0.803222:0.161802:0.803222:0.161802:0.788186:0.153341:0.788186:0.000000
 divide  .:@0.161802:0.803117:0.219445:0.803117:0.219445:0.788054:0.161802:0.788054:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.208732:0.803222:0.216929:0.803222:0.216929:0.788186:0.208732:0.788186:0.000000