10-Fatorando Polin\303\264mios Fatorar polin\303\264mios pode ser um dos pontos mais dif\303\255ceis da \303\241lgebra. Existem diversos m\303\251todos e \303\251 comum que as pessoas personalizem a forma de fazer isso de acordo com a pr\303\263pria compreens\303\243o do assunto. Desta maneira, veremos como fatorar polin\303\264mios no Maple, e ent\303\243o estudar o m\303\251todo escrito de examinar todos os coeficientes do termo do meio.

restart; TabelaFatora\303\247\303\243o := proc( poly ) local p, lt,mt,ct, L, M, l,m, A,i,j,k,factorable; p := sort( poly, x); lt := coeff( p, x^2); mt := coeff( p, x); ct:= subs(x = 0, poly); print( `Dire\303\247\303\243o de termo constante` = lt); print( `Termo constante` = ct); print(` `); L := numtheory[divisors](lt); l := nops(L); M := numtheory[divisors](ct); m := nops(M); if( ct > 0) then l := ceil(l/2); fi; A := array([seq([seq(` ` , j = 1..m+3) ],i = 1..l+3)]): for i from 1 to l do A[i+3, 1] := L[i]; A[i+3, 2] := lt/L[i]; A[i+3, 3] := `|`; od: for j from 1 to m do A[1, j+3] := M[j]; A[2,j+3] := ct/M[j]; od: for j from 1 to m do A[3, j+3] := `__`; od: for i from 1 to l do for j from 1 to m do A[i+3, j+3] := A[1,j+3]*A[i+3,1] + A[2,j+3]*A[i+3,2] ; od:od: print(A); factorable := false; for i from 1 to l do for j from 1 to m do if(mt = A[i+3, j+3]) then factorable := true ; fi; od:od: print(` `); if(factorable) then print(`Fatoravel!`); else print(`N\303\243o fatoravel`); fi; end proc: Fatora\303\247\303\243oAgrupamento := proc( EQ ) local F, B, G, G1, G2; F := op(1, EQ) + op(2, EQ): B := op(3, EQ) + op(4, EQ): print(`\134n1. Grupo dos primeiros dois termos e dos \303\272ltimos dois termos:`); print( EQ, `= (`,F,`) + (`,B,`)`); print(` `); G := gcd(factor(F), factor(B)); print(`\134n2. Esse dois grupos s\303\243o divis\303\255veis por `, G); G1 := simplify(F/G); G2 := simplify(B/G); print(EQ,cat( ` = `,G,`*`,G1,` + `,G,`*`,G2)); print(` `); print(`\134n3. Fatore esses termos comuns de `, G, ); G1 := simplify(F/G); G2 := simplify(B/G); print(EQ,cat( ` = (`,convert(G,string) ,`)*(`,G1+G2,`)`)); end proc:

Error, `)` unexpected

O Maple \303\251 t\303\243o capaz de fatorar polin\303\264mios quanto n\303\272meros: x^2 + 7*x + 12: % = factor( %);

NiMvLCgqJCklInhHIiIjIiIiIiIiKiYiIigiIiIlInhHIiIiIiIiIiM3IiIiKiYsJiUieEciIiIiIiUiIiIiIiIsJiUieEciIiIiIiQiIiIiIiI=

12*x^2 + 7*x + 1: % = factor( %);

NiMvLCgqJiIjNyIiIiklInhHIiIjIiIiIiIiKiYiIigiIiIlInhHIiIiIiIiIiIiIiIiKiYsJiomIiIkIiIiJSJ4RyIiIiIiIiIiIiIiIiIiIiwmKiYiIiUiIiIlInhHIiIiIiIiIiIiIiIiIiIi

Mas saiba que nem todos os polin\303\264mios s\303\243o fator\303\241veis. Neste caso, a fatora\303\247\303\243o mais simples \303\251 o pr\303\263prio polin\303\264mio - da mesma forma que fatoramos n\303\272meros primos. (a fatora\303\247\303\243o de 7 \303\251 7.) x^2 + 2*x + 3: % = factor( %);

NiMvLCgqJCklInhHIiIjIiIiIiIiKiYiIiMiIiIlInhHIiIiIiIiIiIkIiIiLCgqJCklInhHIiIjIiIiIiIiKiYiIiMiIiIlInhHIiIiIiIiIiIkIiIi

9*x^2 + 7*x + 11: % = factor( %);

NiMvLCgqJiIiKiIiIiklInhHIiIjIiIiIiIiKiYiIigiIiIlInhHIiIiIiIiIiM2IiIiLCgqJiIiKiIiIiklInhHIiIjIiIiIiIiKiYiIigiIiIlInhHIiIiIiIiIiM2IiIi

12*x^2 + 7*x + 1: % = factor( %);

NiMvLCgqJiIjNyIiIiklInhHIiIjIiIiIiIiKiYiIigiIiIlInhHIiIiIiIiIiIiIiIiKiYsJiomIiIkIiIiJSJ4RyIiIiIiIiIiIiIiIiIiIiwmKiYiIiUiIiIlInhHIiIiIiIiIiIiIiIiIiIi

Tamb\303\251m, h\303\241 casos de polin\303\264mios que tem fatores comuns \303\240 todos os seus termos, que podem ser fatorados antes do resto do processo de fatora\303\247\303\243o. 32*x^2 - 162: % = factor( %);

NiMvLCYqJiIjSyIiIiklInhHIiIjIiIiIiIiIiRpIiEiIiwkKigiIiMiIiIsJiomIiIlIiIiJSJ4RyIiIiIiIiIiKiEiIiIiIiwmKiYiIiUiIiIlInhHIiIiIiIiIiIqIiIiIiIiIiIi

Aqui temos outros exemplos: 16*x^2+42*x+27: % = factor( %);

NiMvLCgqJiIjOyIiIiklInhHIiIjIiIiIiIiKiYiI1UiIiIlInhHIiIiIiIiIiNGIiIiKiYsJiomIiIjIiIiJSJ4RyIiIiIiIiIiJCIiIiIiIiwmKiYiIikiIiIlInhHIiIiIiIiIiIqIiIiIiIi

36*x^2-105*x-50: % = factor( %);

NiMvLCgqJiIjTyIiIiklInhHIiIjIiIiIiIiKiYiJDAiIiIiJSJ4RyIiIiEiIiIjXSEiIiomLCYqJiIjNyIiIiUieEciIiIiIiIiIiYiIiIiIiIsJiomIiIkIiIiJSJ4RyIiIiIiIiIjNSEiIiIiIg==

252*x^2+477*x+100: % = factor( %);

NiMvLCgqJiIkXyMiIiIpJSJ4RyIiIyIiIiIiIiomIiR4JSIiIiUieEciIiIiIiIiJCsiIiIiLCgqJiIkXyMiIiIpJSJ4RyIiIyIiIiIiIiomIiR4JSIiIiUieEciIiIiIiIiJCsiIiIi

252*x^2+477*x-100: % = factor( %);

NiMvLCgqJiIkXyMiIiIpJSJ4RyIiIyIiIiIiIiomIiR4JSIiIiUieEciIiIiIiIiJCsiISIiKiYsJiomIiM3IiIiJSJ4RyIiIiIiIiIjRCIiIiIiIiwmKiYiI0AiIiIlInhHIiIiIiIiIiIlISIiIiIi

Vamos come\303\247ar um m\303\251todo em sala de aula. Esse m\303\251todo \303\251 um pouco mais trabalhoso que os m\303\251todos dos livros, mas \303\251 sistem\303\241tico, tem sempre a mesma seq\303\274\303\252ncia de passos e sempre nos d\303\241 uma resposta exata, se ela existir, e diferente do m\303\251todo de "multipliquem o primeiro e o \303\272ltimo termo e depois fatore por agrupamento", esse m\303\251todo nos leva a entender mais claramente o que est\303\241 acontecendo. A tabela: funciona da seguinte forma: 1. Encontre a fatora\303\247\303\243o por dois n\303\272meros do coeficiente principal e o termo constante. 2. Crie uma tabela onde cada fatora\303\247\303\243o do coeficiente principal tenha sua pr\303\263pria linha ao longo da coluna, e cada fatora\303\247\303\243o do termo constante esteja em sua pr\303\263pria coluna ao longo da linha de cima. (Nesta tabela, as duas linhas de cima s\303\243o fatora\303\247\303\265es do termo constante, e as duas linhas da direita s\303\242o fatora\303\247\303\265es do termo principal.). 3. N\303\263s vamos utilizar os produtos do primeiro par e do segundo par. Multiplicar o primeiro n\303\272mero da fatora\303\247\303\243o l.c. pelo primeiro n\303\272mero do termo constante de fatora\303\247\303\243o. E depois multiplicar segundo por segundo. Depois som\303\241-los e p\303\264r o n\303\272mero na tabela - na linha e coluna que se alinham com a linha e a coluna das duas fatora\303\247\303\265es. 4. Quando a tabela estiver completa, procure o coeficiente do termo do meio na tabela. Se encontr\303\241-lo, ent\303\243o o trin\303\264mio \303\251 fator\303\241vel. Se n\303\243o encontr\303\241-lo, ele n\303\243o \303\251 fattor\303\241vel. 5. Para encontrar a fatora\303\247\303\243o, ache o n\303\272mero no corpo da trace the number in the body of the table to its row and column original factorizations. Form the OI computation, and then form two binomials which have that Outer pair product and Inner pair product. That is the factorization. TabelaFatora\303\247\303\243o( x^2 + 7*x + 12); x^2 + 7*x + 12: % = factor( %);

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NiMlIn5HNiMlK0ZhdG9yYXZlbCFHNiMvLCgqJCklInhHIiIjIiIiIiIiKiYiIigiIiIlInhHIiIiIiIiIiM3IiIiKiYsJiUieEciIiIiIiUiIiIiIiIsJiUieEciIiIiIiQiIiIiIiI=

TabelaFatora\303\247\303\243o( 12*x^2 + 7*x + 1); 12*x^2 + 7*x + 1: % = factor( %);

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NiMlIn5HNiMlK0ZhdG9yYXZlbCFHNiMvLCgqJiIjNyIiIiklInhHIiIjIiIiIiIiKiYiIigiIiIlInhHIiIiIiIiIiIiIiIiKiYsJiomIiIkIiIiJSJ4RyIiIiIiIiIiIiIiIiIiIiwmKiYiIiUiIiIlInhHIiIiIiIiIiIiIiIiIiIi

TabelaFatora\303\247\303\243o( 9*x^2 + 7*x + 11); 9*x^2 + 7*x + 11: % = factor( %);

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NiMlIn5HNiMlME58anl8anZ8aHZvfmZhdG9yYXZlbEc=NiMvLCgqJiIiKiIiIiklInhHIiIjIiIiIiIiKiYiIigiIiIlInhHIiIiIiIiIiM2IiIiLCgqJiIiKiIiIiklInhHIiIjIiIiIiIiKiYiIigiIiIlInhHIiIiIiIiIiM2IiIi

TabelaFatora\303\247\303\243o( 12*x^2 + 7*x + 1); 12*x^2 + 7*x + 1: % = factor( %);

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NiMlIn5HNiMlK0ZhdG9yYXZlbCFHNiMvLCgqJiIjNyIiIiklInhHIiIjIiIiIiIiKiYiIigiIiIlInhHIiIiIiIiIiIiIiIiKiYsJiomIiIkIiIiJSJ4RyIiIiIiIiIiIiIiIiIiIiwmKiYiIiUiIiIlInhHIiIiIiIiIiIiIiIiIiIi

TabelaFatora\303\247\303\243o( 32*x^2 - 162); 32*x^2 - 162: % = factor( %);

NiMvJT9EaXJlfGp5fGp2fGh2fGp5fGp2fGh2b35kZX50ZXJtb35jb25zdGFudGVHIiNLNiMvJTBUZXJtb35jb25zdGFudGVHISRpIg==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NiMlIn5HNiMlK0ZhdG9yYXZlbCFHNiMvLCYqJiIjSyIiIiklInhHIiIjIiIiIiIiIiRpIiEiIiwkKigiIiMiIiIsJiomIiIlIiIiJSJ4RyIiIiIiIiIiKiEiIiIiIiwmKiYiIiUiIiIlInhHIiIiIiIiIiIqIiIiIiIiIiIi

TabelaFatora\303\247\303\243o(16*x^2+42*x+27); 16*x^2+42*x+27: % = factor( %);

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NiMlIn5HNiMlK0ZhdG9yYXZlbCFHNiMvLCgqJiIjOyIiIiklInhHIiIjIiIiIiIiKiYiI1UiIiIlInhHIiIiIiIiIiNGIiIiKiYsJiomIiIjIiIiJSJ4RyIiIiIiIiIiJCIiIiIiIiwmKiYiIikiIiIlInhHIiIiIiIiIiIqIiIiIiIi

TabelaFatora\303\247\303\243o(36*x^2-105*x-50); 36*x^2-105*x-50: % = factor( %);

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

TabelaFatora\303\247\303\243o(252*x^2+477*x+100); 252*x^2+477*x+100: % = factor( %);

NiMvJT9EaXJlfGp5fGp2fGh2fGp5fGp2fGh2b35kZX50ZXJtb35jb25zdGFudGVHIiRfIw==NiMvJTBUZXJtb35jb25zdGFudGVHIiQrIg==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NiMlIn5HNiMlME58anl8anZ8aHZvfmZhdG9yYXZlbEc=NiMvLCgqJiIkXyMiIiIpJSJ4RyIiIyIiIiIiIiomIiR4JSIiIiUieEciIiIiIiIiJCsiIiIiLCgqJiIkXyMiIiIpJSJ4RyIiIyIiIiIiIiomIiR4JSIiIiUieEciIiIiIiIiJCsiIiIi

TabelaFatora\303\247\303\243o(252*x^2+477*x-100); 252*x^2+477*x-100: % = factor( %);

NiMvJT9EaXJlfGp5fGp2fGh2fGp5fGp2fGh2b35kZX50ZXJtb35jb25zdGFudGVHIiRfIw==NiMvJTBUZXJtb35jb25zdGFudGVHISQrIg==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NiMlIn5HNiMlK0ZhdG9yYXZlbCFHNiMvLCgqJiIkXyMiIiIpJSJ4RyIiIyIiIiIiIiomIiR4JSIiIiUieEciIiIiIiIiJCsiISIiKiYsJiomIiM3IiIiJSJ4RyIiIiIiIiIjRCIiIiIiIiwmKiYiI0AiIiIlInhHIiIiIiIiIiIlISIiIiIi

"Fatora\303\247\303\243o por Agrupamento" \303\251 outro m\303\251todo de fatora\303\247\303\243o. Esse m\303\251todo \303\251 muito \303\272til quando temos quatro termos. A id\303\251ia \303\251 agrupar os dois primeiros termos, os dois \303\272ltimos termos, e ent\303\243o fatorar um fator comum. FactorGrouping(x^3 + 5*x^2 +7*x + 35);

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FactorGrouping(x^3 - 5*x^2 -9*x + 45);

NiMtJS9GYWN0b3JHcm91cGluZ0c2IywqKiQpJSJ4RyIiJCIiIiIiIiomIiImIiIiKSUieEciIiMiIiIhIiIqJiIiKiIiIiUieEciIiIhIiIiI1giIiI=

\303\200s vezes h\303\241 mais a ser feito ap\303\263s a fatora\303\247\303\243o por agrupamento. Neste caso, podemos continuar fatorando um dos termos. factor(x^3 - 5*x^2 -9*x + 45);

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FactorGrouping( 8*x^3 - 12*x^2 - 10*x + 15);

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Esse m\303\251todo tamb\303\251m pode ser usado para fatorar trin\303\264mios. x^2 + 12*x + 32, ` = `, (x^2 + 4*x),` + `,(8*x + 32);

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6*x^2 + 19*x + 15; `6*15` = 6*15; `9 + 10` = 19; `9*10` = 90;

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6*x^2 + 19*x + 15, ` = `, (6*x^2 + 9*x),` + `,(10*x + 15); 6*x^2 + 19*x + 15, ` = `, 3*x,`*(`, 2*x + 3, `) + 5*(`, 2*x + 3, `)`; 6*x^2 + 19*x + 15, ` = (`, 3*x+ 5, `(`, 2*x + 3, `)`;

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Fatorar os polin\303\264mios nas equa\303\247\303\265es, nos permite resolv\303\252-las. x^2 -x -12= 0;

NiMvLCgqJCklInhHIiIjIiIiIiIiJSJ4RyEiIiIjNyEiIiIiIQ==

Fatora\303\247\303\243o := factor(lhs(%)) = 0;

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Agora usamos a propriedade: se a*b = 0, ent\303\243o a = 0 ou b = 0. Em outras palavras, dividiremos uma equa\303\247\303\243o com dois fatores em duas equa\303\247\303\265es mais simples com um fator cada - que s\303\243o mais f\303\241ceis de resolver. op(1,op(1,factored)) = 0; solve(%);

NiMvJSlmYWN0b3JlZEciIiE=NiMiIiE=

op(2,op(1,factored)) = 0; solve(%);

Error, improper op or subscript selector

Evidentemente, podemos solucionar de uma vez usando um \303\272nico comando do Maple. Mas isso n\303\243o demonstra a resolu\303\247\303\243o do problema. `As solu\303\247\303\265es s\303\243o `,{solve( factored )} ;

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xxxx. x^2 + 39*x + 170 = 0; factored := factor(lhs(%)) = 0; op(1,op(1,factored)) = 0; solve(%); op(2,op(1,factored)) = 0; solve(%); `As Solu\303\247\303\265es s\303\243o `,{solve( factored )} ;

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21*x^2 + x - 10 = 0; factored := factor(lhs(%)) = 0; op(1,op(1,factored)) = 0; solve(%); op(2,op(1,factored)) = 0; solve(%); `As solu\303\247\303\265es s\303\243o `,{solve( factored )} ;

NiMvLCgqJiIjQCIiIiklInhHIiIjIiIiIiIiJSJ4RyIiIiIjNSEiIiIiIQ==NiM+JSlmYWN0b3JlZEcvKiYsJiomIiIoIiIiJSJ4RyIiIiIiIiIiJiIiIiIiIiwmKiYiIiQiIiIlInhHIiIiIiIiIiIjISIiIiIiIiIhNiMvLCYqJiIiKCIiIiUieEciIiIiIiIiIiYiIiIiIiE=NiMjISImIiIoNiMvLCYqJiIiJCIiIiUieEciIiIiIiIiIiMhIiIiIiE=NiMjIiIjIiIkNiQlN0FzfnNvbHV8anl8anZ8aHZ8anl8anZ8aHZlc35zfGp5fGp2fGh2b35HPCQjISImIiIoIyIiIyIiJA==

Mas \303\251 claro, isso s\303\263 funciona se o polin\303\264mio for fator\303\241vel. x^2 + 3*x - 11 = 0; factored := factor(lhs(%)) = 0; `As solu\303\247\303\265es s\303\243o `,{solve( factored )} ;

NiMvLCgqJCklInhHIiIjIiIiIiIiKiYiIiQiIiIlInhHIiIiIiIiIiM2ISIiIiIhNiM+JSlmYWN0b3JlZEcvLCgqJCklInhHIiIjIiIiIiIiKiYiIiQiIiIlInhHIiIiIiIiIiM2ISIiIiIhNiQlN0FzfnNvbHV8anl8anZ8aHZ8anl8anZ8aHZlc35zfGp5fGp2fGh2b35HPCQsJiMiIiQiIiMhIiIqJkYoRikpIiNgIyIiIkYoRi5GLiwmRiZGKUYqRik=

Usaremos outros m\303\251todos para resolver esse tipo de equa\303\247\303\243o.