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Factorización de Trinomios (Octavo)

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Factorización de Trinomios (Octavo)

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Quiz de factorización de trinomios

Created by

Lani Rocha
Lani Rocha
Colombia

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Factorización de Trinomios (Octavo)
 

Factorización de Trinomios (Octavo)Online version

Quiz de factorización de trinomios

by Lani Rocha
1

Factoriza x^2 + 5x + 6. ¿Cuál es la factorización completa?

2

Trinomio cuadrado perfecto: x^2 + 6x + 9. ¿Qué forma final tiene?

3

Factoriza 3x^2 + 12x + 9. ¿Qué factor común separa?

4

Factoriza x^2 + 7x + 12. ¿Qué pares de binomios?

5

Tipo de trinomio: ax^2 + bx + c con a≠1. ¿Qué técnica sirve?

6

Completa la factorización: 2x^2 + 7x + 3. ¿Cuál opción es correcta?

7

Cuál es la diferencia entre trinomio de la forma x^2 + bx + c y ax^2 + bx + c?

8

Factoriza completamente: x^2 + 4x + 4. ¿Qué obtienes?

9

Dado 6x^2 + 11x + 3, ¿qué factor común inicial?

10

Qué tipo de pregunta pide: identificar el tipo de trinomio x^2 + 9x + 20.

Explicación

Buscas dos números que sumen 5 y multipliquen 6; 2 y 3 cumplen. (x+2)(x+3) es la factorización correcta.

Es TCP con a^2 + 2ab + b^2; aquí a=x, b=3. Resultado (x+3)^2.

Coeficiente común es 3; luego factoriza x^2+4x+3 = (x+1)(x+3).

Dos números que sumen 7 y multipliquen 12 son 3 y 4.

Método de agrupación: encontrar m y n tal que m+n=b y mn=ac.

Buscas pares cuyas multiplicaciones den 2x^2+7x+3; 1 y 3 funcionan: (2x+1)(x+3).

El primer caso tiene coeficiente principal 1; el segundo tiene a distinto de 1.

Es TCP con u=a=b=2; x^2+4x+4 = (x+2)^2.

No hay factor común de coeficientes entero aparte de 1; se debe buscar MN=ac y b.

Aquí a=1 y c=20; es de la forma x^2 + bx + c.

 
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