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Unit 4 Target 2: Greatest Common Factoring

Total questions: 15

Worksheet time: 43mins

Name
Class
Date
1.

Factor Completely:

x2 - 5x

a)

1(x - 5)

b)

x(x - 5x)

c)

x(x - 5)

d)

x2(1 - 5)

2.

Factor Completely:

w3 + 3w

a)

3w(1)

b)

w(w2 + 3)

c)

w3(w + 3)

3.

Factor Completely:

8r3 + 16r2

a)

4r2(2r + 4)

b)

8r2(r + 2)

c)

8(r3 + r2)

d)

4(r3 + 2r2)

4.

Factor Completely:

24c5 - 12c3

a)

6(4c5 - 2c3)

b)

12c3(2c2)

c)

12c3(2c2 - 1)

d)

12c3(2c2 - 0)

5.

Factor Completely:

16x2 + 18x + 12

a)

4(4x2 + 6x + 3)

b)

2(8x2 + 9x + 6)

c)

2x(8x + 9 + 3)

d)

x(16x + 18 + 12)

6.

Factor Completely:

w5 - w3

a)

w3(w2 - 1)

b)

w(w4 - w2)

c)

w3(w2 - w)

d)

w2(w3 - w)

7.

Factor Completely:

5k3 + 7k2 + k

a)

5k(k2 +2k + 1)

b)

7k(5k2 +k + 1)

c)

k(5k2 + 7k + 1)

d)

5k3 + 7k2 + k

8.

Factor Completely:

27x²y⁵-72x³y²

a)

9x²(3y³-8x)

b)

9x²y²(8y³-3x)

c)

3x²y²(3y³-8x)

d)

9x²y²(3y³-8x)

9.

Factor Completely:

-3a²b + 6a³+b²

a)

4a²b(-1 + 2ab)

b)

3a²b(-1 + 2b)

c)

3a²b(-1 + 2ab)

d)

3a²b(1 + 2ab)

10.

Factor Completely:

5x² - 5x³ - 15x⁴

a)

-5x²(1 + x + 3x²)

b)

-5x²( x + 3x²)

c)

-3x²(1 + x + 3x²)

d)

-5x²(1 + 2x + 3x²)

11.

Factor Completely:

-32n⁹ + 32n⁶ + 40n⁵

a)

4n⁵(-4n⁴ + 4n + 5)

b)

8n⁵(-4n⁴ + 2n + 5)

c)

8n⁵(-4n⁴ + 4n + 5)

d)

8n⁵(-4n⁴ + 4n + 15)

12.

Factor Completely:

27y⁷ +12y² + 9y²

a)

3y²(9y⁵ + 4x + 3)

b)

2y²(9y⁵ + 4x + 3)

c)

3y²(3y⁵ + 4x + 3)

d)

3y²(9y⁵ + 4x + 5)

13.

Factor Completely:

-48a²²b² - 56a³b - 56a⁵b

a)

-8a²b(3b + 7a + 7a³)

b)

-8a²b(6b + 14a + 7a³)

c)

-8a²b(6b + 7a + 7a³)

d)

-8a²b(6b + 7a + 6a³)

14.

Factor Completely:

8x³y² + 4x³

a)

4x³(1y² + 1)

b)

4x³(2y² + 2)

c)

4x³(2y² + 1)

d)

2x³(2y² + 1)

15.

Factor Completely:

7ab - 35a²b

a)

7b(1 - 5a)

b)

7a(1 - 5a)

c)

7ab(1 - 5a)

d)

7ab(b - 5a)