Quiz about Factorización

Question 1

Factoriza la siguiente diferencia de cuadrados

$$x^6-36$$

Accepted Answer

$$\left(x^3-6\right)\left(x^3+6\right)$$

Answer

$$\left(x+6\right)\left(x+6\right)$$

Answer

$$\left(x+6\right)\left(x-6\right)$$

Answer

$$\left(x^3+6\right)\left(x^3+6\right)$$

Question 2

Factorizar agrupando

$$6x^3-21x^2-4x+14$$

Accepted Answer

$$\left(3x^2-2\right)\left(2x-7\right)$$

Answer

$$\left(3x^2+2\right)\left(2x-7\right)$$

Answer

$$\left(3x^2+2\right)\left(2x+7\right)$$

Answer

$$\left(3x^2-2\right)\left(2x+7\right)$$

Question 3

Factoriza el siguiente trinomio $$x^2-10x+25$$

Accepted Answer

$$\left(x-5\right)^2$$

Answer

$$\left(x+6\right)^2$$

Answer

$$\left(x+5\right)\left(x-5\right)$$

Answer

$$\left(x+5\right)^2$$

Question 4

Factoriza completamente; $$3x^4y^4-48y^4$$

Accepted Answer

$$3y^4\left(x^2+4\right)\left(x+2\right)\left(x-2\right)$$

Answer

$$3y^4\left(x^4-16\right)$$

Answer

$$3y^4\left(x^2+4\right)\left(x^2-4\right)$$

Answer

$$3y^4\left(x^2+4\right)\left(x^2+4\right)$$

Question 5

Factoriza la siguiente diferencia de cubos; $$27-x^3$$

Accepted Answer

$$\left(3-x\right)\left(9+3x+x^2\right)$$

Answer

$$\left(3+x\right)\left(9+3x+x^2\right)$$

Answer

$$\left(3-x\right)\left(9-3x+x^2\right)$$

Answer

$$\left(3-x\right)\left(9-3x-x^2\right)$$

Question 6

Factoriza completamente; $$3w^2-3w^2y^4$$

Accepted Answer

$$3w^2\left(1+y^2\right)\left(1+y\right)\left(1-y\right)$$

Answer

$$3w^2\left(1+y^4\right)$$

Answer

$$3w^2\left(1+y^2\right)\left(1-y^2\right)$$

Answer

$$3w^2\left(1-y^4\right)$$

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