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Casos de Factorización: Casos Especiales

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Casos de Factorización: Casos Especiales

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Casos especiales de factorización

Created by

RICHAR RUBIO
RICHAR RUBIO
Ecuador

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Casos de Factorización: Casos Especiales
 

Casos de Factorización: Casos EspecialesOnline version

Casos especiales de factorización

by RICHAR RUBIO
1

Factoriza x^2 - 9 (diferencia de cuadrados).

2

Factoriza 4x^2 - 12x + 9 (trinomio perfecto).

3

Factoriza x^2 + 5x + 6.

4

Factoriza x^3+3x^2+x+3 (factorización por agrupación).

5

Factoriza 2x^3+4x^2+3x+6 (agrupación).

6

Factoriza x^3 - 8 (cubo).

7

Factoriza 6x^2+11x+4.

8

Factoriza 12x^4 - 8x^3 + 4x^2.

9

Factoriza x^2+6x+9 (trinomio cuadro).

10

Factoriza 9x^2-30x+25 (cubo perfecto).

Explicación

Es diferencia de cuadrados: a^2-b^2=(a-b)(a+c).

Es un trinomio cuadrado perfecto: (2x)^2-2·2x·3+3^2.

Factor común de coeficientes 1 y números que sumen 5 y multipliquen 6.

Agrupa: x^2(x+3)+1(x+3)=(x+3)(x^2+1).

Agrupa: 2x^2(x+2)+3(x+2)=(x+2)(2x^2+3).

Es diferencia de cubos: a^3-b^3=(a-b)(a^2+ab+b^2).

Trinomio factorizable: coeficientes 6 y 4 factorizan como (3x+4)(2x+1).

Factor común 4x^2: 4x^2(3x^2-2x+1).

Trinomio cuadrado perfecto: a^2+2ab+b^2=(a+b)^2.

Trinomio cuadrado perfecto: (3x)^2-2·3x·5+5^2.

 
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