Free Printable Factoring Polynomials

1.

Factor Completely: x²-17x+72

a)

(x-9)(x+8)

b)

(x-9)(x-8)

c)

x(x-3)

d)

(x+9)(x+8)

2.

Factor Completely: x²-7x-8

a)

(x+1)(x-8)

b)

(x+1)(x+8)

c)

5(x+4)(x+5)

d)

(x-1)(x+8)

3.

Factor Completely: 2k²-14k-60

a)

2(k-10)(k-3)

b)

Not Factorable

c)

(k-5)(k+9)

d)

2(k-10)(k+3)

4.

Factor Completely: x⁴-9x²

a)

x²(x+3)(x-3)

b)

(x²+3x)(x²-3x)

c)

(x²+9)(x-3)(x+3)

d)

x²(x²-9)

5.

Factor Completely: x²+13x+40

a)

(x+5)(x+8)

b)

5x(x+3)

c)

3x(x+6)

d)

x(x-4)

6.

Factor Completely: 3x²+15x-72

a)

x(x+5)

b)

3(x+8)(x-3)

c)

(3x+24)(x-3)

d)

3(x-8)(x+3)

7.

Factor Completely: 16q³-48q²+36q

a)

4q(2q-3)²

b)

4q(2q+3)²

c)

4(4q³-12q²+9q)

d)

4q(2q-3)(2q+3)

8.

Factor Completely: 4k²+24k+36

a)

(2k+6)²

b)

(2k-6)²

c)

(2k-6)(2k+6)

d)

4(k+3)²

9.

Factor Completely: 5x²-11x+6

a)

(5x+6)(x-1)

b)

(5x-6)(x-1)

c)

(2x-7)(x-3)

d)

(5x-6)(x+1)

10.

Factor Completely: 14p²-24p-8

a)

(5p+3)(p-4)

b)

(3p-2)(p+10)

c)

2(7p-2)(p+2)

d)

2(7p+2)(p-2)

11.

What is the factored form of the expression? $x^2-16$

a)

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

b)

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

c)

$\left(x-4\right)\left(x-4\right)$

d)

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

12.

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

a)

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

b)

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

c)

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

d)

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

13.

What is the factored form of the expression? $x^2+x-6$

a)

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

b)

$\left(x+1\right)\left(x-6\right)$

c)

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

d)

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

14.

What are the binomial factors of $x^2+7x-18$

(Pick 2 answers)

a)

$\left(x-9\right)$

b)

$\left(x+9\right)$

c)

$\left(x-2\right)$

d)

$\left(x+2\right)$

15.

If $\left(x-3\right)$ is a factor of $x^2+x-12$ , then the other factor is?

a)

$\left(4x-3\right)$

b)

$\left(3x-4\right)$

c)

$\left(x-4\right)$

d)

$\left(x+4\right)$

16.

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

a)

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

b)

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

c)

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

d)

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

17.

When factored completely, $x^3-9x$ is equivalent to:

a)

$x\left(x-3\right)$

b)

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

c)

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

d)

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

18.

Which expression is the factored form of $2x^2-2x-12?$

a)

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

b)

$2\left(x+6\right)\left(x-1\right)$

c)

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

d)

$2\left(x+1\right)\left(x-6\right)$

19.

Factor the trinomial completely. $x^2-x-30$

a)

$\left(x+1\right)\left(x-30\right)$

b)

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

c)

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

d)

$prime$

20.

Factor the trinomial completely. $x^2-6x-72$

a)

$\left(x-12\right)\left(x+6\right)$

b)

$\left(x-72\right)\left(x+1\right)$

c)

$\left(x+12\right)\left(x-6\right)$

d)

$prime$

21.

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

a)

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

b)

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

c)

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

d)

$prime$

22.

What method should you use to factor the polynomial?

8r³ - 16r²

a)

Factor by Grouping

b)

Factor out the GCF

c)

Difference of Squares

d)

Master Product

23.

What method should you use to factor the polynomial?

x² - 36

a)

Factor by Grouping

b)

Factor out the GCF

c)

Difference of Squares

d)

Master Products

24.

Factor

n² + 16n + 63

a)

(n-7)(n+4)

b)

(n+7)(n-9)

c)

(n-3)(n-10)

d)

(n+7)(n+9)

25.

Factor Completely:

x² - 36

a)

(x + 9)(x - 4)

b)

(x - 6)(x - 6)

c)

(x - 9)(x + 4)

d)

(x + 6)(x - 6)

Factoring Polynomials

Total questions: 25

Worksheet time: 25mins

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