Free Printable Factoring by Gcf and Grouping

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Worksheets

Factoring by Gcf and Grouping

Total questions: 15

Worksheet time: 23mins

Name

Class

Date

1.

Factor by grouping:

7r³ – 8r² + 42r – 48

a)

(r² + 6) (7r + 8)

b)

(r² + 6) (7r – 8)

c)

(r² + 6) (r² + 8)

d)

(r² + 6) (7r + 6)

2.

Factor by grouping:

20x³ – 25x² + 4x – 5

a)

(5x² – 5) (4x + 1)

b)

5 (x² – 1) (4x + 5)

c)

(5x² + 1) (4x – 5)

d)

(5x²+ 1) (4x – 1)

3.

Factor by grouping:

2x³ – 8x² – x + 4

a)

(2x² – 1) (x – 4)

b)

2 (x² – 1) (x + 4)

c)

(x² – 1) (2x – 4)

d)

(2x² + 1) (x – 4)

4.

Factor by grouping:

x³ – 5x² + 5x – 25

a)

(x² – 5) (x – 5)

b)

(x² + 5) (x – 5)

c)

(x² + 5) (x + 5)

d)

(x² – 1) (x – 25)

5.

Factor by grouping:

5n³ – 10n² + 3n – 6

a)

(5n² + 3) (n – 2)

b)

(5n² – 3) (n – 2)

c)

(5n³ + 3) (n – 2)

d)

10n (n² – 6)

6.

Factor by grouping:

x³ + 7x² – 2x – 14

a)

(x² – 2) (x – 7)

b)

(x² + 2) (x – 7)

c)

(x² + 2) (x + 7)

d)

(x² – 2) (x + 7)

7.

Factor by grouping:

4p³ + 8p² + 3p + 6

a)

(2p² + 3) (p + 2)

b)

(2p² + 6) (p + 4)

c)

(4p² + 3) (p + 2)

d)

(4p² + 8p) (3p + 6)

8.

Factor by grouping:

30x³ + 15x² – 18x – 9

a)

(5x² – 3) (6x + 1)

b)

(5x² – 3) (6x + 3)

c)

3 (5x² + 3) (2x – 1)

d)

3 (5x² – 3) (2x + 1)

9.

Factor by GCF:

2a³ – 2a²

a)

2a² (a)

b)

2a (2a² – a)

c)

2a² (a – 1)

d)

2a² (a + 1)

10.

What is the GCF of 42xy² and 28x³y?

a)

84x³y²

b)

14y

c)

14xy

d)

14xy²

11.

What are the factors? (Select two answers)

m³ + 8m² + 2m + 16

a)

(m² + 2)

b)

(m² – 2)

c)

(m + 8)²

d)

(m + 8)

12.

What are the factors? (Select two answers)

28n³+ 24n²+ 7n + 6

a)

(n² + 1)

b)

(7n + 6)

c)

(n + 8)²

d)

(4n² + 1)

13.

Factor by GCF:

m³ + 8m²

a)

8m² (m + 1)

b)

m² – 8

c)

(m + 8)²

d)

m² (m + 8)

14.

Factor by grouping:

x³ – 4x² – 4x + 16

a)

(x + 4) (x + 2)

b)

(x - 4) (x² – 4)

c)

( x + 4) (x² – 4)

d)

(x – 4) (x – 2)

15.

Factor by grouping:

5n³ – 10n² + 3n – 6

a)

(5n² + 3) (n – 2)

b)

(5n² – 3) (n – 2)

c)

(5n³ + 3) (n – 2)

d)

10n (n² – 6)

Reset

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