Free Printable 0.23-0.24 - Factor GCF and Diff of Squares

1.

Factor.

$30x^6+24x^5-18x^4$

2.

Factor

$8x^5+9x^4+11x^3$

3.

Factor

$7x^8+x^6+4x^5$

4.

Factor

$12x^2+8x+16$

5.

Factor

$30x^2+20x+70$

6.

Factor

$24x^5+12x^4+18x$

7.

Factor

$16x^7+32x^5+24x^3$

8.

Factor

$12x^6+9x^4-15x^2$

9.

Simplify

$\left(4x^2+5x-10\right)-\left(x^2+3x-7\right)$

10.

Simplify

$\left(9x^3-4x^2-8x\right)-\left(2x^3-7x^2-17x\right)$

11.

Simplify

$5x\left(3x^2+4x-9\right)$

12.

Simplify

$3\left(5x^2-6x\right)-7\left(2x-3\right)$

13.

Simplify

$7x\left(4x-5\right)-8\left(2x-9\right)$

14.

Factor

$y^2-16$

a)

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

b)

$\left(y+4\right)\left(y+4\right)$

c)

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

d)

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

e)

not factorable

15.

Factor

$y^2+8y+16$

a)

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

b)

$\left(y+4\right)\left(y+4\right)$

c)

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

d)

$\left(y+1\right)\left(y+16\right)$

e)

Not factorable

16.

Factor.

$25x^2-36$

Do not type spaces.

(a)

17.

Factor

$x^2-81$

Do not type spaces

(a)

18.

What is the answer to b?

a)

i

b)

ii

c)

iii

d)

iv

e)

v

19.

What is the answer to a?

a)

i

b)

ii

c)

iii

d)

iv

e)

v

20.

What is the answer to d?

a)

i

b)

ii

c)

iii

d)

iv

e)

v

21.

What is the answer to e?

a)

i

b)

ii

c)

iii

d)

iv

e)

v

22.

What is the answer for b?

a)

i

b)

ii

c)

iii

d)

iv

e)

v

23.

What is the answer for e?

a)

i

b)

ii

c)

iii

d)

iv

e)

v

24.

What is the answer for d?

a)

i

b)

ii

c)

iii

d)

iv

e)

v

25.

Factor

$9-x^2$

Do not type spaces.

(a)

26.

Factor out the GCF

$12x^5-18x^4$

27.

Factor out the GCF.

$25x^7-30x^5+15x$

28.

Match the following

a)

$x^2-25$

1.

(x+5)(x-5)

b)

$x^2+25$

2.

not factorable

c)

$16x^2-25$

3.

(4x-5)(4x+5)

d)

$25-x^2$

4.

(5+x)(5-x)

e)

$9x^2-25$

5.

(3x+5)(3x-5)

29.

Match the following

a)

$x^2-121$

1.

(x+11)(x-11)

b)

$121-x^2$

2.

(11+x)(11-x)

c)

$x^2+121$

3.

not factorable

d)

$36x^2-121$

4.

(6x+11)(6x-11)

e)

$22x+121$

5.

11(2x+11)

30.

Match the following

a)

$x^2-9$

1.

(x+3)(x-3)

b)

$9-x^2$

2.

(3+x)(3-x)

c)

$x^2+9$

3.

not factorable

d)

$15x^2-9x$

4.

3x(5x-3)

e)

$15x+9$

5.

3(5x+3)

31.

Match the following

a)

$x^2-81$

1.

(x+9)(x-9)

b)

$81-x^2$

2.

(9+x)(9-x)

c)

$x^2+81$

3.

not factorable

d)

$4x^2-81$

4.

(2x-9)(2x+9)

e)

$9x^2+81x$

5.

9x(x+9)

0.23-0.24 - Factor GCF and Diff of Squares

Total questions: 31

Worksheet time: 22mins

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