Factorización de Polinomios: Aprende y Practica con Cuestionarios Interactivos

Question 1

¿Cuál de los siguientes polinomios es factorizable por agrupación?

Accepted Answer

x^2 - 2xy + y^2 - 4

Answer

x^3 - 8

Answer

x^2 - y^2

Answer

x^2 + 5x + 6

Question 2

Factoriza el polinomio 4x^2 - 16:

Accepted Answer

4(x + 2)(x - 2)

Answer

2(x + 2)(x - 2)

Answer

4(x^2 - 4)

Question 3

Factoriza el polinomio x^3 + 6x^2 + 9x:

Accepted Answer

x(x + 3)^2

Answer

(x + 3)(x^2 - 3x + 9)

Answer

x(x + 9)^2

Answer

(x - 3)(x^2 + 3x + 9)

Question 4

Factoriza el polinomio: x³ - 8

Accepted Answer

(x - 2)(x² + 2x + 4)

Answer

(x + 2)(x² - 2x + 4)

Answer

(x - 8)(x² + 2x + 4)

Answer

No se puede factorizar

Question 5

Factoriza el polinomio: x³ - 27

Accepted Answer

(x - 3)(x² + 3x + 9)

Answer

No se puede factorizar

Answer

(x + 3)(x² - 3x + 9)

Answer

(x - 3)²(x + 9)

Question 6

Factoriza el polinomio: x⁴ + 8x² + 16

Accepted Answer

(x² + 4)²

Answer

No se puede factorizar

Answer

(x + 4)²

Answer

(x² - 4)²

Question 7

¿Cuál de las siguientes expresiones es la factorización correcta del polinomio x^2 - 4?

Accepted Answer

(x + 2)(x - 2)

Answer

x + 2

Answer

2(x + 2)

Answer

x - 2

Question 8

Factoriza el polinomio x^2 + 6x + 8:

Accepted Answer

(x + 2)(x + 4)

Answer

(x + 8)(x + 8)

Answer

(x - 2)(x - 4)

Answer

No se puede factorizar

Question 9

Factoriza el polinomio x^3 + 8:

Accepted Answer

(x + 2)(x^2 - 2x + 4)

Answer

No se puede factorizar

Answer

(x + 2)^3

Answer

(x - 2)(x^2 + 2x + 4)

Question 10

Factoriza el polinomio x^4 - 16:

Accepted Answer

(x^2 + 4)(x^2 - 4)

Answer

(x^2 + 16)(x^2 - 16)

Answer

No se puede factorizar

Answer

(x + 4)(x - 4)

Question 11

Factoriza el polinomio 4x^3 - 8x^2 + 4x:

Accepted Answer

4x(x^2 - 2x + 1)

Answer

(4x - 1)(x^2 + 2x + 4)

Answer

No se puede factorizar

Answer

4x(x + 1)(x - 2)

Question 12

Factoriza el polinomio: x^2 - 4x + 3

Accepted Answer

(x - 1)(x - 3)

Answer

(x - 1)(x + 3)

Answer

(x + 1)(x - 3)

Answer

(x + 1)(x + 3)

Question 13

¿Cuál es el factor común del polinomio 6x^3 + 9x^2 - 12x?

Accepted Answer

3x

Answer

x^2

Answer

3

Answer

6

Question 14

Factoriza por agrupación: 2xy + 4x + 3y + 6

Accepted Answer

(2x + 3)(y + 2)

Answer

(2x - 3)(y - 2)

Answer

(2x + 3)(y - 2)

Answer

(x + 3)(2y + 2)

Question 15

¿Cuál es la factorización de la diferencia de cuadrados: x^2 - 9?

Accepted Answer

(x + 3)(x - 3)

Answer

(x - 3)(x - 3)

Answer

(x + 3)(x + 3)

Answer

(x - 9)(x + 1)

Question 16

Factoriza el siguiente polinomio: 4x^2 - 12x + 9

Accepted Answer

(2x - 3)^2

Answer

(2x - 9)(2x + 1)

Answer

(2x + 3)^2

Answer

(4x - 3)^2

Question 17

¿Cuál es la factorización de la suma de cubos: x^3 + 8?

Accepted Answer

(x + 2)(x^2 - 2x + 4)

Answer

(x - 2)(x^2 - 2x + 4)

Answer

(x - 2)(x^2 + 2x + 4)

Answer

(x + 2)(x^2 + 2x + 4)

Question 18

Factoriza el polinomio: 2x^3 - 6x^2 + 4x

Accepted Answer

2x(x - 1)(x - 2)

Answer

x(x - 1)(x - 2)

Answer

2x(x + 1)(x - 2)

Answer

2x(x - 1)(x + 2)

Question 19

Encuentra la solución de la ecuación: x^2 - 5x + 6 = 0

Accepted Answer

x = 2, x = 3

Answer

x = -2, x = 3

Answer

x = 2, x = -3

Answer

x = -2, x = -3

Question 20

Factoriza el polinomio: 9x^4 - 16y^4

Accepted Answer

(3x^2 + 4y^2)(3x^2 - 4y^2)

Answer

(3x + 4y)(3x - 4y)

Answer

(9x^2 + 4y^2)(3x^2 - 4y^2)