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Greatest Common Factor Quiz 6.4

Total questions: 15

Worksheet time: 1hrs 15mins

Name
Class
Date
1.
Factor out the GCF:
10x³ - 15x
a)
x(10x² - 15)
b)
5x(2x² - 3)
c)
5(2x³ - 3x)
d)
5x²(10x - 3)
2.

What is the GCF of the terms below?


24x3 + 36x2

a)

8x

b)

6x2

c)

12x2

d)

4x

e)

12x3

3.

Factor using GCF or monomial factoring:

w3 + 3w

a)

3w(1)

b)

w(w2 + 3)

c)

w3(w + 3)

4.

Find the GCF of the terms of each polynomial.

72y5 + 18y2

a)

y2

b)

4y5

c)

18y

d)

18y2

5.
Factor by GCF:
6m2 + 16m
a)
2(3m2 + 8m)
b)
2m(3m + 8)
c)
2m(3m - 8m)
d)
not factorable
6.

What is the greatest common factor of the following?

10a4 , 16a , 10a2

a)

2a

b)

2a2

c)

10a

d)

10a2

7.
Factor
4b5+4b3+16b2
a)
4b3(b4+b2+4b)
b)
4b3(b4+4b+5)
c)
4(b5+b3+4b2)
d)
4b2(b3+b+4)
8.

Factor:

2n2-8n3

a)

2n2(n-4n2)

b)

2n2(1-4n1)

c)

2n3(10-8n2)

d)

3n(1-4n)

9.
Factor:
56a3-8a
a)
8a2(56a3-8a)
b)
8a(7a2-1)
c)
8a(7a3-a)
d)
8a2(35a2-a)
10.
Factor
12x + 9
a)
3(4x + 3)
b)
x(12+9)
c)
3(4x - 3)
d)
not factorable
11.
Factor:
10x + 15
a)
100x + 150
b)
10(x + 5)
c)
1(10x + 15)
d)
5(2x + 3)
12.
Factor:
x2 - 5x
a)
1(x - 5)
b)
x(x - 5x)
c)
x(x - 5)
d)
x2(1 - 5)
13.
What is the GCF?
6w3 - 14w
a)
6w
b)
4
c)
2w
d)
3w
14.
Factor
12x + 9
a)
3(4x + 3)
b)
x(12+9)
c)
3(4x - 3)
d)
not factorable
15.
What is the GCF? 3x2-3x
a)
3
b)
x
c)
3x
d)
1