123:@0.937671:0.974518:0.968375:0.974518:0.968375:0.956333:0.937671:0.956333:0.000000:0.000000:0.000000
Pensamiento numérico:@0.721207:0.043660:0.926911:0.043660:0.926911:0.024915:0.721207:0.024915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3.4 Trinomio de la forma:@0.073089:0.136836:0.263431:0.136836:0.263431:0.119889:0.073089:0.119889:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.263309:0.136836:0.267212:0.136836:0.267212:0.120167:0.263309:0.120167:0.000000
ax:@0.267138:0.136836:0.284791:0.136836:0.284791:0.120153:0.267138:0.120153:0.000000:0.000000
2:@0.284719:0.130772:0.290224:0.130772:0.290224:0.121054:0.284719:0.121054:0.000000
         :@0.290179:0.136836:0.365134:0.136836:0.365134:0.120167:0.290179:0.120167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.294008:0.136281:0.309341:0.136281:0.309341:0.122566:0.294008:0.122566:0.000000
bx:@0.313078:0.136836:0.330602:0.136836:0.330602:0.120153:0.313078:0.120153:0.000000:0.000000
1:@0.334375:0.136281:0.349709:0.136281:0.349709:0.122566:0.334375:0.122566:0.000000
c:@0.353445:0.136836:0.361231:0.136836:0.361231:0.120153:0.353445:0.120153:0.000000
La factorización de este trinomio se obtiene de la siguiente manera::@0.084829:0.169616:0.574403:0.169616:0.574403:0.153182:0.084829:0.153182:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1. Multiplicamos el coeficiente de   con  .:@0.084829:0.186257:0.400619:0.186257:0.400619:0.169824:0.084829:0.169824:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.345121:0.186257:0.354380:0.186257:0.354380:0.169851:0.345121:0.169851:0.000000
c:@0.389832:0.186257:0.397490:0.186257:0.397490:0.169851:0.389832:0.169851:0.000000
2. Abrimos 2 paréntesis; en cada uno escribimos   y la raíz de  .:@0.084829:0.202899:0.559166:0.202899:0.559166:0.186465:0.084829:0.186465:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.450816:0.202899:0.460074:0.202899:0.460074:0.186493:0.450816:0.186493:0.000000
x:@0.543386:0.202899:0.550841:0.202899:0.550841:0.186493:0.543386:0.186493:0.000000
2:@0.550774:0.196835:0.556011:0.196835:0.556011:0.187254:0.550774:0.187254:0.000000
3. En el primer paréntesis luego del primer término escribimos el signo del segundo:@0.084829:0.219541:0.697918:0.219541:0.697918:0.203107:0.084829:0.203107:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
término del trinomio, y en el segundo paréntesis, el signo que resulta de:@0.114957:0.236183:0.697850:0.236183:0.697850:0.219749:0.114957:0.219749:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
multiplicar el signo del segundo con el signo del tercer término del trinomio.:@0.114957:0.252825:0.670871:0.252825:0.670871:0.236391:0.114957:0.236391:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4. Buscamos dos términos que sumados algebraicamente den   y que multiplicados:@0.084829:0.269467:0.697832:0.269467:0.697832:0.253033:0.084829:0.253033:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.545116:0.269467:0.554375:0.269467:0.554375:0.253061:0.545116:0.253061:0.000000
algebraicamente den el producto      .:@0.114957:0.286108:0.396753:0.286108:0.396753:0.269675:0.114957:0.269675:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a c:@0.362829:0.286108:0.393624:0.286108:0.393624:0.269702:0.362829:0.269702:0.000000:0.000000:0.000000
?:@0.375972:0.285970:0.382101:0.285970:0.382101:0.271921:0.375972:0.271921:0.000000
5. Dividimos toda la expresión con  .:@0.084829:0.302750:0.363897:0.302750:0.363897:0.286316:0.084829:0.286316:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.351508:0.302750:0.360767:0.302750:0.360767:0.286344:0.351508:0.286344:0.000000
6. Finalmente, extraemos el factor común de los paréntesis, con la finalidad de:@0.084829:0.319392:0.697670:0.319392:0.697670:0.302958:0.084829:0.302958:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
simplificar el denominador  .:@0.114957:0.336034:0.325444:0.336034:0.325444:0.319600:0.114957:0.319600:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.313056:0.336034:0.322315:0.336034:0.322315:0.319628:0.313056:0.319628:0.000000
Ejemplo 4:@0.073099:0.375683:0.148881:0.375683:0.148881:0.359014:0.073099:0.359014:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Factoriza 9:@0.073099:0.403045:0.150271:0.403045:0.150271:0.386611:0.073099:0.386611:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.150151:0.403045:0.164767:0.403045:0.164767:0.386639:0.150151:0.386639:0.000000
2:@0.164687:0.396980:0.169924:0.396980:0.169924:0.387399:0.164687:0.387399:0.000000
   18:@0.169878:0.403044:0.210926:0.403044:0.210926:0.386610:0.169878:0.386610:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.173836:0.402489:0.189169:0.402489:0.189169:0.388773:0.173836:0.388773:0.000000
m:@0.210834:0.403044:0.225450:0.403044:0.225450:0.386638:0.210834:0.386638:0.000000
 :@0.225373:0.396980:0.227723:0.396980:0.227723:0.387399:0.225373:0.387399:0.000000
2:@0.227677:0.402489:0.243010:0.402489:0.243010:0.388773:0.227677:0.388773:0.000000
 :@0.242918:0.396980:0.245268:0.396980:0.245268:0.387399:0.242918:0.387399:0.000000
7:@0.245221:0.403044:0.254203:0.403044:0.254203:0.386610:0.245221:0.386610:0.000000
Solución:@0.073094:0.430406:0.139228:0.430406:0.139228:0.413736:0.073094:0.413736:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
9:@0.073094:0.457768:0.082077:0.457768:0.082077:0.441334:0.073094:0.441334:0.000000
m:@0.082003:0.457768:0.096619:0.457768:0.096619:0.441362:0.082003:0.441362:0.000000
2:@0.096540:0.451706:0.101777:0.451706:0.101777:0.442125:0.096540:0.442125:0.000000
   18:@0.101730:0.457770:0.142778:0.457770:0.142778:0.441336:0.101730:0.441336:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.105688:0.457215:0.121021:0.457215:0.121021:0.443500:0.105688:0.443500:0.000000
m:@0.142686:0.457770:0.157302:0.457770:0.157302:0.441364:0.142686:0.441364:0.000000
2:@0.157228:0.457215:0.172561:0.457215:0.172561:0.443500:0.157228:0.443500:0.000000
 :@0.172467:0.451706:0.174817:0.451706:0.174817:0.442125:0.172467:0.442125:0.000000
7:@0.174769:0.457770:0.183752:0.457770:0.183752:0.441336:0.174769:0.441336:0.000000
Multiplicamos 9 por 7.:@0.314057:0.457770:0.474966:0.457770:0.474966:0.441336:0.314057:0.441336:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(9:@0.073088:0.485132:0.086875:0.485132:0.086875:0.468698:0.073088:0.468698:0.000000:0.000000
m:@0.086783:0.485132:0.101398:0.485132:0.101398:0.468726:0.086783:0.468726:0.000000
2:@0.101324:0.484577:0.116658:0.484577:0.116658:0.470862:0.101324:0.470862:0.000000
  :@0.116578:0.479070:0.129199:0.479070:0.129199:0.469505:0.116578:0.469505:0.000000:0.000000
) (9:@0.137965:0.485133:0.160514:0.485133:0.160514:0.468700:0.137965:0.468700:0.000000:0.000000:0.000000:0.000000
m:@0.160403:0.485133:0.175019:0.485133:0.175019:0.468727:0.160403:0.468727:0.000000
1:@0.174945:0.484579:0.190278:0.484579:0.190278:0.470863:0.174945:0.470863:0.000000
):@0.211587:0.485133:0.216465:0.485133:0.216465:0.468700:0.211587:0.468700:0.000000
Escribimos los signos según lo indicado.:@0.314057:0.485133:0.603749:0.485133:0.603749:0.468700:0.314057:0.468700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(9:@0.079888:0.513534:0.093675:0.513534:0.093675:0.497100:0.079888:0.497100:0.000000:0.000000
m:@0.093583:0.513534:0.108198:0.513534:0.108198:0.497128:0.093583:0.497128:0.000000
2:@0.108124:0.512979:0.123458:0.512979:0.123458:0.499264:0.108124:0.499264:0.000000
21) (9m 3):@0.123366:0.513534:0.207634:0.513534:0.207634:0.497100:0.123366:0.497100:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.178606:0.512979:0.193939:0.512979:0.193939:0.499264:0.178606:0.499264:0.000000
9:@0.139251:0.527513:0.148234:0.527513:0.148234:0.511080:0.139251:0.511080:0.000000
Buscamos los números que sumados dan  :@0.314057:0.512497:0.623439:0.512497:0.623439:0.496063:0.314057:0.496063:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.314057:0.528584:0.329390:0.528584:0.329390:0.514868:0.314057:0.514868:0.000000
18 y multiplicados  63 y dividimos entre 9.:@0.329298:0.529138:0.643613:0.529138:0.643613:0.512705:0.329298:0.512705:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.465365:0.528584:0.480698:0.528584:0.480698:0.514868:0.465365:0.514868:0.000000
3(3:@0.078227:0.559327:0.100923:0.559327:0.100923:0.542893:0.078227:0.542893:0.000000:0.000000:0.000000
m:@0.100831:0.559327:0.115446:0.559327:0.115446:0.542921:0.100831:0.542921:0.000000
2:@0.115373:0.558772:0.130706:0.558772:0.130706:0.545057:0.115373:0.545057:0.000000
7)  3(3m 1):@0.130614:0.559327:0.225430:0.559327:0.225430:0.542893:0.130614:0.542893:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
? :@0.148266:0.559188:0.158906:0.559188:0.158906:0.545140:0.148266:0.545140:0.000000:0.000000
1:@0.196401:0.558772:0.211735:0.558772:0.211735:0.545057:0.196401:0.545057:0.000000
3   3:@0.135915:0.573306:0.167741:0.573306:0.167741:0.556872:0.135915:0.556872:0.000000:0.000000:0.000000:0.000000:0.000000
?:@0.148763:0.573167:0.154893:0.573167:0.154893:0.559119:0.148763:0.559119:0.000000
Extraemos factor común en cada paréntesis :@0.314060:0.556502:0.635596:0.556502:0.635596:0.540068:0.314060:0.540068:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y simplificamos.:@0.314077:0.573144:0.428758:0.573144:0.428758:0.556710:0.314077:0.556710:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Extraemos factor común en cada paréntesis y simplificamos.:@0.073089:0.600507:0.509151:0.600507:0.509151:0.584073:0.073089:0.584073:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
9:@0.073089:0.627869:0.082072:0.627869:0.082072:0.611435:0.073089:0.611435:0.000000
m:@0.081998:0.627869:0.096613:0.627869:0.096613:0.611463:0.081998:0.611463:0.000000
2:@0.096540:0.621806:0.101777:0.621806:0.101777:0.612225:0.096540:0.612225:0.000000
   18:@0.101730:0.627870:0.142778:0.627870:0.142778:0.611436:0.101730:0.611436:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.105688:0.627315:0.121021:0.627315:0.121021:0.613600:0.105688:0.613600:0.000000
m:@0.142686:0.627870:0.157302:0.627870:0.157302:0.611464:0.142686:0.611464:0.000000
2 5:@0.157228:0.627315:0.200651:0.627315:0.200651:0.613600:0.157228:0.613600:0.000000:0.000000:0.000000
7   (3:@0.172469:0.627870:0.218303:0.627870:0.218303:0.611436:0.172469:0.611436:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m :@0.218211:0.627870:0.236066:0.627870:0.236066:0.611464:0.218211:0.611464:0.000000:0.000000
2:@0.236011:0.627315:0.251344:0.627315:0.251344:0.613600:0.236011:0.613600:0.000000
 7)(3    1):@0.251252:0.627870:0.334085:0.627870:0.334085:0.611436:0.251252:0.611436:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.282600:0.627870:0.297215:0.627870:0.297215:0.611464:0.282600:0.611464:0.000000
1:@0.301099:0.627315:0.316432:0.627315:0.316432:0.613600:0.301099:0.613600:0.000000
Método del aspa:@0.084829:0.658863:0.211758:0.658863:0.211758:0.642193:0.084829:0.642193:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Consiste en descomponer en dos factores el primer y tercer término de un trinomio, :@0.084829:0.686225:0.702265:0.686225:0.702265:0.669791:0.084829:0.669791:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de manera que el producto en cruz nos permita obtener el término del medio.:@0.084829:0.702867:0.654235:0.702867:0.654235:0.686433:0.084829:0.686433:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 5:@0.073085:0.743292:0.148868:0.743292:0.148868:0.726623:0.073085:0.726623:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Factoriza 2    3    54:@0.073085:0.774232:0.243194:0.774227:0.243194:0.757793:0.073085:0.757799:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.150138:0.774232:0.157593:0.774232:0.157593:0.757826:0.150138:0.757826:0.000000
2:@0.157527:0.768163:0.162764:0.768163:0.162764:0.758582:0.157527:0.758582:0.000000
1:@0.166675:0.773673:0.182008:0.773673:0.182008:0.759957:0.166675:0.759957:0.000000
x:@0.194765:0.774227:0.202220:0.774227:0.202220:0.757821:0.194765:0.757821:0.000000
2:@0.206104:0.773673:0.221437:0.773673:0.221437:0.759957:0.206104:0.759957:0.000000
Solución:@0.073093:0.805167:0.139226:0.805167:0.139226:0.788498:0.073093:0.788498:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2    3  :@0.073093:0.836107:0.138029:0.836101:0.138029:0.819667:0.073093:0.819673:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.082002:0.836107:0.089457:0.836107:0.089457:0.819701:0.082002:0.819701:0.000000
2:@0.089380:0.830037:0.094616:0.830037:0.094616:0.820456:0.089380:0.820456:0.000000
1:@0.098527:0.835546:0.113860:0.835546:0.113860:0.821831:0.098527:0.821831:0.000000
x:@0.126617:0.836101:0.134072:0.836101:0.134072:0.819695:0.126617:0.819695:0.000000
2:@0.137956:0.835546:0.153289:0.835546:0.153289:0.821831:0.137956:0.821831:0.000000
54:@0.157145:0.836101:0.175036:0.836101:0.175036:0.819667:0.157145:0.819667:0.000000:0.000000
2    3    54   (2  − 9)(:@0.314082:0.836101:0.497539:0.836101:0.497539:0.819667:0.314082:0.819667:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.322959:0.836101:0.330414:0.836101:0.330414:0.819695:0.322959:0.819695:0.000000
2:@0.330347:0.830037:0.335584:0.830037:0.335584:0.820456:0.330347:0.820456:0.000000
1:@0.339494:0.835546:0.354827:0.835546:0.354827:0.821831:0.339494:0.821831:0.000000
x:@0.367584:0.836101:0.375039:0.836101:0.375039:0.819695:0.367584:0.819695:0.000000
2:@0.378923:0.835546:0.394256:0.835546:0.394256:0.821831:0.378923:0.821831:0.000000
5:@0.419860:0.835546:0.435193:0.835546:0.435193:0.821831:0.419860:0.821831:0.000000
x:@0.452754:0.836101:0.460209:0.836101:0.460209:0.819695:0.452754:0.819695:0.000000
x :@0.497428:0.836101:0.508123:0.836101:0.508123:0.819695:0.497428:0.819695:0.000000:0.000000
1:@0.508068:0.835546:0.523401:0.835546:0.523401:0.821831:0.508068:0.821831:0.000000
 6):@0.523309:0.836101:0.541054:0.836101:0.541054:0.819667:0.523309:0.819667:0.000000:0.000000:0.000000
2   :@0.073086:0.867041:0.097361:0.867038:0.097361:0.850604:0.073086:0.850607:0.000000:0.000000:0.000000:0.000000
x:@0.081995:0.867041:0.089450:0.867041:0.089450:0.850635:0.081995:0.850635:0.000000
2:@0.133331:0.866484:0.148664:0.866484:0.148664:0.852768:0.133331:0.852768:0.000000
9 :@0.148572:0.867038:0.161513:0.867038:0.161513:0.850604:0.148572:0.850604:0.000000:0.000000
2:@0.193573:0.866484:0.208906:0.866484:0.208906:0.852768:0.193573:0.852768:0.000000
9x:@0.208814:0.867038:0.225620:0.867038:0.225620:0.850604:0.208814:0.850604:0.000000:0.000000
vvettt:@0.073098:0.897978:0.112191:0.897978:0.112191:0.881572:0.073098:0.881572:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  6 :@0.112138:0.897975:0.146265:0.897975:0.146265:0.881541:0.112138:0.881541:0.000000:0.000000:0.000000:0.000000
1:@0.193573:0.897420:0.208906:0.897420:0.208906:0.883704:0.193573:0.883704:0.000000
12:@0.208814:0.897975:0.226706:0.897975:0.226706:0.881541:0.208814:0.881541:0.000000:0.000000
x:@0.226614:0.897975:0.234069:0.897975:0.234069:0.881569:0.226614:0.881569:0.000000
3:@0.193573:0.928912:0.202556:0.928912:0.202556:0.912478:0.193573:0.912478:0.000000
x:@0.202482:0.928912:0.209937:0.928912:0.209937:0.912506:0.202482:0.912506:0.000000
En algunos trinomios se :@0.746323:0.185608:0.907815:0.185608:0.907815:0.170668:0.746323:0.170668:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
debe primero extraer el :@0.746323:0.200737:0.905258:0.200737:0.905258:0.185797:0.746323:0.185797:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
factor común.:@0.746323:0.215866:0.838547:0.215866:0.838547:0.200926:0.746323:0.200926:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
6    27    15:@0.746323:0.230995:0.847109:0.230995:0.847109:0.216055:0.746323:0.216055:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.754422:0.230995:0.761199:0.230995:0.761199:0.216080:0.754422:0.216080:0.000000
2:@0.761132:0.225482:0.765893:0.225482:0.765893:0.216772:0.761132:0.216772:0.000000
1:@0.769447:0.230491:0.783387:0.230491:0.783387:0.218022:0.769447:0.218022:0.000000
x:@0.803083:0.230995:0.809860:0.230995:0.809860:0.216080:0.803083:0.216080:0.000000
2:@0.813391:0.230491:0.827330:0.230491:0.827330:0.218022:0.813391:0.218022:0.000000
3(2    9    5):@0.746338:0.256840:0.847734:0.256845:0.847734:0.241905:0.746338:0.241900:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.766887:0.256840:0.773664:0.256840:0.773664:0.241926:0.766887:0.241926:0.000000
2:@0.773586:0.251333:0.778347:0.251333:0.778347:0.242623:0.773586:0.242623:0.000000
1:@0.781902:0.256341:0.795842:0.256341:0.795842:0.243872:0.781902:0.243872:0.000000
x:@0.807438:0.256845:0.814216:0.256845:0.814216:0.241931:0.807438:0.241931:0.000000
2:@0.817746:0.256341:0.831686:0.256341:0.831686:0.243872:0.817746:0.243872:0.000000
3(2x   10)(2x   1):@0.757764:0.282843:0.892376:0.282843:0.892376:0.266409:0.757764:0.266409:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.792130:0.282288:0.807463:0.282288:0.807463:0.268573:0.792130:0.268573:0.000000
2:@0.859390:0.282288:0.874724:0.282288:0.874724:0.268573:0.859390:0.268573:0.000000
2:@0.820569:0.296822:0.829552:0.296822:0.829552:0.280388:0.820569:0.280388:0.000000
3   2(    5)(2x  1:@0.759834:0.314635:0.890286:0.314635:0.890286:0.298201:0.759834:0.298201:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
?:@0.772682:0.314497:0.778812:0.314497:0.778812:0.300448:0.772682:0.300448:0.000000
x:@0.796372:0.314635:0.803827:0.314635:0.803827:0.298229:0.796372:0.298229:0.000000
1:@0.807711:0.314081:0.823044:0.314081:0.823044:0.300365:0.807711:0.300365:0.000000
2:@0.866062:0.314081:0.881395:0.314081:0.881395:0.300365:0.866062:0.300365:0.000000
2:@0.820559:0.328614:0.829542:0.328614:0.829542:0.312181:0.820559:0.312181:0.000000
3(    5)(2   1):@0.746305:0.348113:0.858294:0.348113:0.858294:0.331679:0.746305:0.331679:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.760000:0.348113:0.767454:0.348113:0.767454:0.331707:0.760000:0.331707:0.000000
1:@0.771338:0.347558:0.786672:0.347558:0.786672:0.333843:0.771338:0.333843:0.000000
x:@0.817927:0.348113:0.825382:0.348113:0.825382:0.331707:0.817927:0.331707:0.000000
2:@0.829266:0.347558:0.844599:0.347558:0.844599:0.333843:0.829266:0.333843:0.000000
Competencia :@0.746323:0.145427:0.845014:0.145427:0.845014:0.130021:0.746323:0.130021:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática :@0.746323:0.160556:0.834937:0.160556:0.834937:0.145150:0.746323:0.145150:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000