Free Printable Factoring Binomials GCF and DOS

1.

Which of these is a factor of 18?

a)

4

b)

5

c)

36

d)

3

2.

Factor by using GCF:
8n³ + 2n²

a)

2n²(4n-1)

b)

2n²(4n + 1)

c)

n²(8n+2)

d)

3n(4n+1)

3.

Factor:
x² - 5x

a)

1(x - 5)

b)

x(x - 5x)

c)

x(x - 5)

d)

x²(1 - 5)

4.

Factor:
18a²-15a

a)

15a(3a-1)

b)

3a(6a-1)

c)

3(6a-5)

d)

3a(6a-5)

5.

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)

Difference of 2 Cubes

6.

Factor Completely. $8x^2-200$

a)

$8\left(x+5\right)\left(x-5\right)$

b)

$8\left(x^2-25\right)$

c)

$4\left(2x^2-50\right)$

d)

$4\left(2x+25\right)\left(2x-25\right)$

7.

x²- 400

a)

( x - 200) ( x + 200)

b)

( x + 20) ( x + 20)

c)

Prime

d)

( x - 20) ( x + 20)

8.

Which expression is equivalent to $160k^2-48k$ ?

a)

16k(10k-3)

b)

16k(10k+3)

c)

16(10k-3)

d)

16(10k+3)

9.

x²- 16

a)

Prime

b)

( x - 4) ( x + 4)

c)

( x - 8) ( x + 8)

d)

( x - 4) ( x - 4)

10.

x²- 25

a)

( x + 5 ) ( x - 5 )

b)

( x - 5 ) ( x - 5 )

c)

( x + 5 ) ( x + 5 )

d)

Prime

11.

Factor:
x² - 9

a)

(x + 3)(x - 3)

b)

(x + 3)²

c)

(x - 3)²

d)

(x+3)(x+3)

12.

Factor:
$3x^2-75y^2$

a)

$3\left(x-5y\right)\left(x+5y\right)$

b)

$3\left(x^2-25y^2\right)$

c)

$\left(x^2-25y^2\right)$

d)

$3\left(x^2-5y^2\right)\left(x^2-5y^2\right)$

13.

Fully Factor the Following
25x²-81

a)

(5x-9)²

b)

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

c)

25(x-9)²

d)

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

14.

What is ALWAYS the first step when factoring?

a)

Look for the GCF

b)

Write a, b, and c

c)

Difference of squares

d)

Group

15.

What is the GCF?

5x^2+20x

a)

5

b)

x

c)

5x

d)

20x

16.

What is the GCF?

$3x^2-2x$

a)

3

b)

3x

c)

x

d)

2

17.

Factor using GCF:

$x^2-5x$

Remember: Write your answer as GCF(Quotient)

a)

1(x - 5)

b)

x(x - 5x)

c)

x(x - 5)

d)

x²(1 - 5)

18.

Factor using GCF:

$10x+15$

a)

100x + 150

b)

10(x + 5)

c)

1(10x + 15)

d)

5(2x + 3)

19.

Factor by using GCF:

$8n^3+2n^2$

a)

2n²(4n-1)

b)

2n²(4n + 1)

c)

n²(8n+2)

d)

3n(4n+1)

20.

Factor by using GCF:

$8n^3+2n^2$

a)

2n²(4n-1)

b)

2n²(4n + 1)

c)

n²(8n+2)

d)

3n(4n+1)

Factoring Binomials GCF and DOS

Total questions: 20

Worksheet time: 40mins

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