Free Printable Factoring Polynomials Test Review

1.

Factor completely

45xy + 15x³y + 10y

a)

5y (9xy + 3x²+ 2y)

b)

5xy (9 + 3x²+ 2)

c)

5x (9y + 3xy + 2)

d)

5y (9x + 3x³ + 2)

2.

Factor:
4n⁶+16n⁴-8n

a)

4n(n⁴+4n³-2)

b)

4n(n⁵+4n³-2)

c)

12n(n⁵+4n⁴-2)

d)

16n(n⁵+4n³-2)

3.

Factor $8y^2-10y-3$

a)

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

b)

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

c)

$\left(4y+1\right)\left(4y-3\right)$

4.

Factor m² -13m-30

a)

(m-15)(m+2)

b)

(m+15)(m-2)

c)

(m+10)(m-3)

d)

(m-10)(m+3)

5.

Factor Completely:
x² - 36

a)

(x + 9)(x - 4)

b)

(x - 6)(x - 6)

c)

(x - 9)(x + 4)

d)

(x + 6)(x - 6)

6.

9x²- 49y⁶

a)

( 3x + 7y³) (3x + 7y³)

b)

( 3x - 7y³) (3x + 7y³)

c)

( 3x - 7y³) (3x - 7y³)

d)

Prime

7.

Factor:
n²+ 10n + 25

a)

(n + 5)(n - 5)

b)

(n + 25)(n + 1)

c)

(n - 5)²

d)

(n + 5)²

8.

Simplify each expression.
(4n⁴ - 8n + 4) - (8n² + 4n⁴ + 1)

a)

-8n² - 8n + 3

b)

-7n² - 8n + 3

c)

-6n²- 8n + 3

d)

-7n² - 4n + 3

9.

Simplify each expression.
(6b³ + 6 - b⁴) - (8b³ - 6b⁴ + 2)

a)

4b⁴ - 2b³ + 7

b)

5b⁴ - 2b³ + 4

c)

b⁴ - 2b³ + 7

d)

5b⁴ - 2b³ + 7

10.

Simplify each expression.
(6x + 4x⁴ - 3x²) + (7x⁴ + 5x² + 8x)

a)

11x⁴ + 2x² + 14x

b)

16x⁴ + x² + 14x

c)

11x⁴ + x² + 14x

d)

11x⁴ + 2x² + 10x

11.

Simplify the expression.
(4a³ - 8a - 4a²) + (7a³ - 7 - 6a)

a)

11a³ - 4a² - 14a - 7

b)

5a³ - 4a² - 14a - 7

c)

5a³ - 4a² - 20a - 7

d)

5a³ - 9a² - 20a - 7

12.

Simplify

(7x - 4) (7x + 4)

a)

49x² + 56x - 16

b)

49x²- 28x -16

c)

49x² + 28x - 16

d)

49x²- 16

13.

Factor:

2m² + 3m - 9

a)

2(m + 3)(m - 3)

b)

(2m - 3)²

c)

(m + 3)(2m - 3)

d)

(2m + 3)(m - 3)

14.

Factor

3a² + 4a + 1

a)

(7a-10)(a-8)

b)

Not factorable

c)

(3a+1)(a+1)

d)

(3a-1)(a-1)

15.

Factor completely:
$6a^2+48a-54$

a)

$\left(a-1\right)\left(a+9\right)$

b)

$6\left(a-1\right)\left(a+9\right)$

c)

$\left(6a-6\right)\left(a+9\right)$

d)

$\left(a-1\right)\left(6a-54\right)$

16.

Factor completely:
$r^2+r-6$

a)

$\left(r+2\right)\left(r+3\right)$

b)

$\left(r+4\right)\left(r-7\right)$

c)

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

d)

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

17.

What is the Area?

a)

2x² - 3x - 18 inches²

b)

2x² + 3x + 18 inches²

c)

2x² + 9x - 18 inches²

d)

2x² - 9x - 18 inches²

18.

What is the Perimeter?

a)

3x - 3 inches

b)

6x - 6 inches

c)

3x - 6 inches

d)

6x - 3 inches

19.

Factor completely:
$9x^2+12x+4$

a)

$\left(9r-2\right)\left(9r+2\right)$

b)

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

c)

$\left(3r+2\right)^2$

d)

$\left(9r+2\right)^2$

20.

Factor the GCF
10x² + 15x-5

a)

25(10x³+45x-15)

b)

5(2x³ + 3x²-x)

c)

x(10x³+15x-5)

d)

5(2x²+3x-1)

21.

Factor
k²+7x+10

a)

(k+2)(k+5)

b)

(k-2)(k-5)

c)

(k+10)(k+4)

d)

(k+2)(k-5)

22.

Factor
3v² - 4v - 7

a)

(3v-7)(v+1)

b)

3(v-7)(v-1)

c)

(3v+1)(v-9)

d)

(3v+1)(v-10)

Factoring Polynomials Test Review

Total questions: 22

Worksheet time: 3hrs 32mins

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