Free Printable FACTORING (GCF, Grouping, Special products and other trinomials)

1.

Factor out the GCF:
12x + 6

a)

6(2x + 1)

b)

3(4x + 2)

c)

6x(2x + 1)

d)

2(6x + 3)

2.

Factor out the GCF:
10x³ - 15x

a)

x(10x² - 15)

b)

5x(2x² - 3)

c)

5(2x³ - 3x)

d)

5x²(10x - 3)

3.

Factor 4b⁵+4b³+16b²

a)

4b³(b⁴+b²+4b)

b)

4b³(b⁴+4b+5)

c)

4(b⁵+b³+4b²)

d)

4b²(b³+b+4)

4.

Factor
10x² + 15x-5

a)

25(10x³+45x-15)

b)

5(2x³ + 3x²-x)

c)

x(10x³+15x-5)

d)

5(2x²+3x-1)

5.

2x³-8x²-x+4

a)

(2x²-1)(x-4)

b)

2(x²-1)(x+4)

c)

(x²-1)(2x-4)

d)

(2x²+1)(x-4)

6.

x³-5x²+5x-25

a)

(x²-5)(x-5)

b)

(x²+5)(x-5)

c)

(x²+5)(x+5)

d)

(x²-1)(x-25)

7.

30x³+15x²-18x-9

a)

(5x²-3)(6x+1)

b)

(5x²-3)(6x+3)

c)

3(5x²+3)(2x-1)

d)

3(5x²-3)(2x+1)

8.

Factor by grouping:
x³+7x²-2x-14

a)

(x²-2)(x-7)

b)

(x²+2)(x-7)

c)

(x²+2)(x+7)

d)

(x²-2)(x+7)

9.

Factor.

x²- 25

a)

( x + 5 ) ( x - 5 )

b)

( x - 5 ) ( x - 5 )

c)

( x + 5 ) ( x + 5 )

d)

Prime

10.

Factor.

4x²- 64

a)

Prime

b)

( 2x - 32) (2 x + 32)

c)

( 2x - 8) (2 x - 8)

d)

( 2x - 8) (2 x + 8)

11.

Factor.

x² + 24x + 144

a)

(x + 12)²

b)

(x - 12)²

c)

(x + 15)²

d)

(x + 13)²

12.

Factor.

x² - 30x + 225

a)

(x + 15)²

b)

(x - 15)²

c)

(x + 25)²

d)

(x - 25)²

13.

a)

A

b)

B

c)

C

d)

D

14.

a)

A

b)

B

c)

C

d)

D

15.

a)

A

b)

B

c)

C

d)

D

16.

Factor: x² + 24x + 144

a)

(x + 12)²

b)

(x + 9)²

c)

(x + 15)²

d)

(x + 13)²

17.

Factor: x² - 20x + 100

a)

(x-10)²

b)

(x+10)²

18.

Factor

x² + 18x + 81

a)

(x + 9)(x – 9)

b)

(x + 18)²

c)

(x + 9)²

d)

(x + 6)²

19.

Factor by grouping:
$x^3-4x^2-4x+16$

a)

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

b)

$\left(x-4\right)\left(x^{ }+2\right)\left(x-2\right)$

c)

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

d)

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

20.

Factor by grouping:

4p^3+8p^2+3p+6

a)

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

b)

$\left(2p^2+6\right)\left(p+4\right)$

c)

$\left(4p^2+3\right)\left(p+2\right)$

d)

$\left(4p^2+8p\right)\left(3p+6\right)$

21.

Factor by grouping:

x^3+7x^2-2x-14

a)

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

b)

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

c)

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

d)

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

22.

What is the factored form of $5n^3-10n^2+3n-6$ ?

a)

$\left(5n^2+3\right)\left(n-2\right)$

b)

$\left(5n^2-3\right)\left(n-2\right)$

c)

$\left(5n^3+3\right)\left(n-2\right)$

d)

$10n\left(n^2-6\right)$

23.

Factor

k^2+7k+10

.

a)

$(k+2)(k-5)$

b)

$(k+2)(k+5)$

c)

$(k+10)(k+4)$

d)

$(k-2)(k-5)$

24.

Factor $k^2-2k-24$

a)

$(k-4)(k+6)$

b)

$(k+4)(k+6)$

c)

$(k+6)(k-1)$

d)

$(k+4)(k-6)$

25.

Factor $x^2+9x-36$

a)

$(x+12)(x-3)$

b)

$(x+9)(x-4)$

c)

$(x-9)(x-4)$

d)

$(x-12)(x+3)$

26.

Factor

x^2-10x+16

a)

$(x+12)(x-2)$

b)

$(x-4)(x-6)$

c)

$(x+10)(x-2)$

d)

$(x-2)(x-8)$

27.

Factor

w^2-w-12

a)

$(w-6)(w+2)$

b)

$(w-4)(w+3)$

c)

$(w-6)(w-6)$

d)

$(w+4)(w-3)$

28.

Factor Completely
$v^2+11v+28$

a)

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

b)

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

c)

$\left(v+6\right)\left(v+3\right)$

d)

$\left(v+7\right)\left(v+4\right)$

FACTORING (GCF, Grouping, Special products and other trinomials)

Total questions: 28

Worksheet time: 3hrs 26mins

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