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Factoring Polynomials GCF a=1

Total questions: 15

Worksheet time: 15mins

Name
Class
Date
1.

Factor using GCF

18a2-15a

a)

15a(3a-1)

b)

3a(6a-1)

c)

3(6a-5)

d)

3a(6a-5)

2.

Factor using GCF

12x + 9

a)

3(4x + 3)

b)

x(12+9)

c)

3(4x - 3)

d)

not factorable

3.

What is the greatest common factor of 30x and 56x2

a)

4x

b)

6x

c)

2x

d)

x

4.

Factor
4b5+4b3+16b2

a)

4b3(b4+b2+4b)

b)

4b3(b4+4b+5)

c)

4(b5+b3+4b2)

d)

4b2(b3+b+4)

5.

Factor by GCF:

6m2 + 16m

a)

2(3m2 + 8m)

b)

2m(3m + 8)

c)

2m(3m - 8m)

d)

Prime

6.

Factor the GCF:

7x - 35

a)

7x (x - 5)

b)

7 (x - 5)

c)

7 (7x - 35)

d)

x (7x - 35)

7.

Factor the GCF:

4m2 - m

a)

m2 (4m - 1)

b)

m (4m - m)

c)

m (4m - 1)

d)

4m (m - 1)

8.

Factor the GCF:

-80r2 - 8r

a)

-8r (10r + 1)

b)

-8 (10r + 1)

c)

-8r (10r - 1)

d)

-8 (10r - 1)

9.

Factor the GCF:

36m3n - 6n4

a)

6n2 (6m - n)

b)

6n2 (6m3 - 1)

c)

6n (6mn - 1)

d)

6n (6m3 - n3)

10.

Factor the GCF:

5x3y3 + 10x3y2

a)

5x2y2 (y + 2)

b)

5x3y2 (y + 2)

c)

5xy (y + 2)

d)

5x3y3 (y + 2)

11.

Factor the GCF: 18a7b - 60a6b

a)

6a7 (3b - 10)

b)

6a6b (3a - 10)

c)

6a7b (3b - 10)

d)

6a6b (3a - 10b)

12.

Factor the GCF:

10b4 - 20b2 + 20

a)

10 (b4 -2b2 + 2)

b)

10b (b4 -2b2 + 2)

c)

10b2 (b2 -2b + 2)

d)

10 (b2 -2b + 2)

13.

Factor the GCF:

-10b2 + 12b - 12

a)

b (-10b2 + 12b - 12)

b)

2b (-5b2 + 6b - 6)

c)

-2 (5b2 - 6b + 6)

d)

6 (-b2 + b - 1)

14.

Factor the GCF:

14x3y4 + 7y2 + 49x

a)

7 (2xy + 7y + 49x)

b)

7xy (2xy + 7y + 49x)

c)

7y (2xy + 7 + 49x)

d)

7 (2x3y4 + y2 + 7x)

15.

Factor the GCF:

a)

5x2 (1 + 6x2y + 5x6y)

b)

5x (1 + 6x2y + 5x6y)

c)

5 (1 + 6x2y + 5x6y)

d)

5x6 (1 + 6x2y + 5xy)