Free Printable Factoring by GCF

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Worksheets

Factoring by GCF

Total questions: 20

Worksheet time: 1hrs 6mins

Name

Class

Date

1.

10x + 50

a)

10(10x+50)

b)

10(x+50)

c)

10(x+5)

d)

Cannot be factored

2.

-6y + 36

a)

-6 (y -6)

b)

6 (y + 6)

c)

-6 (1)

d)

cannot be factored

3.

9x + 3

a)

9 (x+1)

b)

3( 3x +1)

c)

3(3x + 3)

d)

cannot be factored

4.

Factor by GCF:
17xy - x

a)

17(xy - x)

b)

y(17x - x)

c)

x(17y - 1)

d)

not factorable

5.

Factor:
p² - 14p

a)

p(1 - 14)

b)

2p(p - 7)

c)

p²(1-14)

d)

p(p - 14)

6.

Factor:
2n²-8n³

a)

2n²(n-4n²)

b)

2n²(1-4n²)

c)

2n³(10-8n²)

d)

3n(1-4n)

7.

Factor:
2n³+16n+12

a)

2n(n³+24n+6)

b)

2(n³+8n+6)

c)

2n(n³+8n+6)

d)

3(n³+8n+6)

8.

Factor:
10a⁴+16a+10a²

a)

2a(5a³⁺8+5a)

b)

2a⁴(5a+8a²+5a³)

c)

2a⁴(10+16a+40a²)

d)

3a³(5+8a+a²)

9.

39y⁵ + 12y⁴- 3y³

a)

3y(13y⁴ + 4y³ - y²)

b)

3y³(13y² + 4y - 1)

c)

y³(39y² + 12y - 3)

10.

Factor:
80x⁵-70x²-60x⁷

a)

2x²(80x³-70-60x⁶)

b)

10x²(80x⁴-70x-60x⁶)

c)

10x²(8x³-7-6x⁵)

d)

3x²(80x³-40-60x⁵)

11.

Factor:
10a⁴+16a+10a²

a)

2a(5a³⁺8+5a)

b)

2a⁴(5a+8a²+5a³)

c)

2a⁴(10+16a+40a²)

d)

3a³(5+8a+a²)

12.

Factor:
24c⁵ - 12c³

a)

6(4c⁵ - 2c³)

b)

12c³(2c²)

c)

12c³(2c² - 1)

d)

12c³(2c² - 0)

13.

39y⁵ + 12y⁴- 3y³

a)

3y(13y⁴ + 4y³ - y²)

b)

3y³(13y² + 4y - 1)

c)

y³(39y² + 12y - 3)

14.

Find the factors

16xy - 24y

a)

4y (4x - 6)

b)

8y (2xy - 3y)

c)

8y (2x - 3)

d)

2xy (8 - 12y)

15.

Find the Factors

36a⁵bc - 12c

a)

12c (3a⁵b - 1)

b)

6c (6a⁵b - 2)

c)

12c (3a⁵b - c)

d)

12abc(3a⁴ - 1)

16.

Factor completely

4a³b⁵ - 18a²b³ + 8a³b³

a)

4a²b³ (ab² - 4 + 2a)

b)

2a²b³ (2ab² - 9 + 4a)

c)

2a²b³ (2ab - 9ab + 4)

d)

a²b (4ab - 18a²b³ + 8ab²)

17.

Factor completely

18x³ + 81x - 27

a)

9x (2x² + 9x - 3)

b)

3 (6x³ + 27x - 9)

c)

9 (2x³ + 9x - 3)

d)

9 (2x² + 9x - 3)

18.

Factor completely

45xy + 15x³y + 10y

a)

5y (9xy + 3x²+ 2y)

b)

5xy (9 + 3x²+ 2)

c)

5x (9y + 3xy + 2)

d)

5y (9x + 3x³ + 2)

19.

Factor completely

21x⁷y⁶ + 30x⁵y⁸ - 18x⁵y⁶

a)

3xy (7x⁴y² + 10x²y⁶ - 6x)

b)

3x⁵y⁶ (7y² + 10 x² - 6)

c)

3x⁵y⁶ (7x²+ 10y² - 6)

d)

3x⁷y⁸ (7y² + 10x² - 6x²y²)

20.

Factor Completely

12abc + 18 ab²c - 6b

a)

6b (2abc + 3b - 1)

b)

6b ( 2ac + 3abc - 1)

c)

6b (2ac + 3abc)

d)

6abc (2 + b)

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