Quiz about Factoring Preskills

Question 1

What method should you use to factor the polynomial?

8r³ - 16r²

Accepted Answer

Factor out the GCF

Answer

Factor by Grouping

Answer

Difference of Squares

Answer

Master Product

Question 2

What method should you use to factor the polynomial?

x² - 36

Accepted Answer

Difference of Squares

Answer

Factor by Grouping

Answer

Factor out the GCF

Answer

Master Products

Question 3

8r³ - 16r²

Accepted Answer

8r²(r - 2)

Answer

4r²(2r - 4)

Answer

8(r³ - r²)

Answer

4(r³ - 2r²)

Question 4

Factor

n² + 16n + 63

Accepted Answer

(n+7)(n+9)

Answer

(n-7)(n+4)

Answer

(n+7)(n-9)

Answer

(n-3)(n-10)

Question 5

Factor Completely:

x² - 36

Accepted Answer

(x + 6)(x - 6)

Answer

(x + 9)(x - 4)

Answer

(x - 6)(x - 6)

Answer

(x - 9)(x + 4)

Question 6

Factor Completely.
$$4x^2+24x-64$$

Accepted Answer

$$4\left(x+8\right)\left(x-2\right)$$

Answer

$$4(x^2+6x-16)$$

Answer

$$4\left(x^2+24x-16\right)$$

Answer

$$4\left(x-8\right)\left(x+2\right)$$

Question 7

Which shows the polynomial $$8x^2+16x+8$$ completely factored?

Accepted Answer

$$8\left(x+1\right)^2$$

Answer

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

Answer

$$\left(4x+4\right)\left(2x+2\right)$$

Answer

$$8\left(x+1\right)\left(x-1\right)$$

Question 8

Written in factored form, the trinomial $$2y^2+26y+80$$ is equivalent to:

Accepted Answer

$$2\left(y+5\right)\left(y+8\right)$$

Answer

$$2\left(y-5\right)\left(y-8\right)$$

Answer

$$\left(2y+5\right)\left(y+8\right)$$

Answer

$$\left(y+5\right)\left(2y+16\right)$$

Question 9

Factor the binomial completely. $$36-25x^2$$

Accepted Answer

$$\left(6+5x\right)\left(6-5x\right)$$

Answer

$$\left(6-5x\right)^2$$

Answer

$$\left(6+5x\right)^2$$

Answer

$$prime$$

Question 10

What are the factors of
25x² - 81?

Accepted Answer

(5x - 9)(5x + 9)

Answer

(5x - 9)(5x - 9)

Answer

(5x + 9)(5x + 9)

Answer

Cannot be factored

Question 11

Factor 4b⁵+4b³+16b²

Accepted Answer

4b²(b³+b+4)

Answer

4b³(b⁴+b²+4b)

Answer

4b³(b⁴+4b+5)

Answer

4(b⁵+b³+4b²)

Question 12

Factor completely.
k² -2k - 24

Accepted Answer

(k+4)(k-6)

Answer

(k+4)(k+6)

Answer

(k+6)(k-1)

Answer

(k-4)(k+6)

Question 13

Factor by grouping:
3x³-x²+6x-2

Accepted Answer

(x²+2)(3x-1)

Answer

(x²+2)(3x+1)

Answer

(3x³+6x)(x²-2)

Answer

none of the aboe

Question 14

Factor completely: 2x²+22x+60

Accepted Answer

2(x+5)(x+6)

Answer

(2x+10)(x+6)

Answer

(x+5)(x+6)

Answer

2(x+1)(x+30)

Question 15

Factor completely: x²-6x+8

Accepted Answer

(x-2)(x-4)

Answer

(x-1)(x-8)

Answer

(x+2)(x+4)

Answer

(x+1)(x+8)

Question 16

Factor completely: x²+16x+64

Accepted Answer

(x+8)(x+8)

Answer

(x+4)(x+16)

Answer

(x-8)(x-8)

Answer

(x+2)(x+32)

Question 17

Factor completely: x²-13x+40

Accepted Answer

(x-5)(x-8)

Answer

(x+5)(x+8)

Answer

(x-4)(x-10)

Answer

(x-2)(x-20)

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