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Factorización y Cuadráticas

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Factorización y Cuadráticas

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Quiz sobre factorización y funciones cuadráticas

Created by

Sergio Eliseo Díaz Ríos
Sergio Eliseo Díaz Ríos
Nicaragua

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Factorización y Cuadráticas
 

Factorización y CuadráticasOnline version

Quiz sobre factorización y funciones cuadráticas

by Sergio Eliseo Díaz Ríos
1

Factoriza el polinomio x^2 - 9.

2

Factoriza x^2 + 5x + 6.

3

Factoriza 2x^2 - 8x.

4

Factoriza x^2 - 4x + 4.

5

Factoriza 3x^2 + 6x.

6

Factoriza x^2 - 7x + 10.

7

Una función cuadrática tiene factor común en x: x^2 + 4x + 4. ¿Cómo se factoriza?

8

Factoriza 6x^2 - 9x.

9

Si x^2 + bx + c es factorizable en reales, para b = -2 y c = -3, ¿cuál es la factorización?

10

Cuál es la factorización de x^2 + 6x + 9?

Explicación

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

Buscamos dos números cuyo producto sea 6 y suma 5: 2 y 3.

Factor común 2x: 2x(x - 4).

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

Factor común 3x: 3x(x + 2).

Números que multiplican 10 y suman 7: 5 y 2.

Es un cuadrado perfecto: (x+2)^2 = x^2+4x+4.

Factor común 3x: 3x(2x - 3).

Producto -3 y suma -2: -3+1 = -2.

Cuadrado perfecto: a^2 + 2ab + b^2 = (a+b)^2 con a=x, b=3.

 
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