Quiz about Factorización de Polinomios

Question 1

Factorizar

$$3x^3y^2-6x^2y^3-9xy^4+18y^5$$

Accepted Answer

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

Answer

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

Answer

$$3x\left(x^2y^2-2xy^3-3y^4+6y^5\right)$$

Answer

$$6y^2\left(2x^3-x^2y-3x\right)$$

Question 2

Factorizar

$$8a^5-a^3-16a^2+2$$

Accepted Answer

$$\left(8a^2-1\right)\left(a^3-2\right)$$

Answer

$$(2a-2)(2a+2)(a^3+2)$$

Answer

$$(4a-1)(a^2-4)$$

Answer

$$(2a-1)(4a^3+2)$$

Question 3

Factorizar:

$$9x^4-12x^2y^2+4y^6$$

Accepted Answer

$$(3x^2-2y^3)^2$$

Answer

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

Answer

$$(3x^2+2y^3)^2$$

Answer

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

Question 4

Factorizar:

$$8x^3-12x^2y+6xy^2-y^3$$

Accepted Answer

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

Answer

$$(2x+y)(4x^2+6xy+3y^2)$$

Answer

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

Answer

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

Question 5

Factorizar:

$$2a^6b^9-6a^4b^6+6a^2b^3-2$$

Accepted Answer

$$2(a^2b^3-1)^3$$

Answer

$$2(a^2b^3-1)(a^4b^6+1)$$

Answer

$$2(a^3b^4-3)^3$$

Answer

$$2(a^3b^4-2)(a^3b^4+2)^2$$

Question 6

Factorizar:

$$27x^3-36x^2y+12xy^2$$

Accepted Answer

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

Answer

$$3x(3x^2-4xy-4y^2)$$

Answer

$$3x(2y+3x)^2$$

Answer

$$3x\left(9x^2-12x+4y^2\right)$$

Question 7

Factorizar: $$16x^2+16x+3$$

Accepted Answer

(4x + 3)(4x + 1)

Answer

(8x + 1)(2x + 3)

Answer

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

Answer

(2x + 1)(8x + 3)

Question 8

Factorizar $$4x^2+7x-15$$

Accepted Answer

(4x - 5)(x + 3)

Answer

(4x + 5)(x - 3)

Answer

(2x - 3)(2x + 5)

Answer

(4x - 3)(x + 5)

Question 9

Factorizar: $$\left(27x^3-8y^3\right)$$

Accepted Answer

$$(3x-2y)(9x^2+6xy+4y^2)$$

Answer

$$(27x-8y)(x^2+2y)$$

Answer

$$(3x+2y)(9x^2-6xy+4y^2)$$

Answer

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

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