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Worksheets

Factoring by Groupings

Total questions: 10

Worksheet time: 10mins

Name
Class
Date
1.

Factor the Polynomial

12x3 - 9x2 + 4x - 3

a)

(3x2 + 1) (4x - 3)

b)

(3x2 - 1) (4x + 3)

c)

(4x2 + 1) (3x - 3)

d)

(4x2 - 1) (3x + 3)

2.

Factor the Polynomial

2x3 + 5x2 + 6x + 15

a)

(x2 + 3) (2x + 5)

b)

(x2 - 3) (2x - 5)

c)

(2x2 - 3) (x - 5)

d)

(2x2 + 3) (x + 5)

3.

Factor the Polynomial

3x3 - 4x2 + 9x - 12

a)

(x2 + 3) (3x - 4)

b)

(x2 - 3) (3x + 4)

c)

(3x2 + 3) (x - 4)

d)

(3x2 - 3) (x + 4)

4.

Factor the Polynomial

12x3 + 4x2 + 3x + 1

a)

(4x2 + 1) (3x + 1)

b)

(4x2 - 1) (3x - 1)

c)

(3x2 + 1) (4x + 1)

d)

(3x2 - 1) (4x - 1)

5.

Factor the Polynomial

x3 - x2 + 2x - 2

a)

(x2 + 2) (x - 1)

b)

(x2 - 2) (x + 1)

c)

(x2 + 1) (x - 2)

d)

(x2 - 1) (x + 2)

6.

Factor the Polynomial

5x3 - 10x2 + 3x - 6

a)

(5x2 + 3) (x - 2)

b)

(5x2 - 3) (x + 2)

c)

(x2 + 3) (5x - 2)

d)

(x2 - 3) (5x + 2)

7.
What is the factored form of 5n³-10n²+3n-6
a)
(5n²+3)(n-2)
b)
(5n²-3)(n-2)
c)
(5n³+3)(n-2)
d)
10n(n²-6)
8.

Factor:

x3 + 4x2 + 4x + 16

a)

(x+4)(x+2)

b)

(x2 + 4)(x + 4)

c)

(x+4)(x2 -4)

d)

(x-4)(x-2)

9.

Factor: 4b3 + b2 + 8b + 2

a)

(b + 2)(4b + 1)

b)

(b2 + 2)(4b + 1)

c)

(b + 2)(b + 1)

d)

(b3 + 2)(4b + 1)

10.

Factor: 30x2+15x + 18x + 9

a)

(5x2 - 3)(6x + 1)

b)

(5x + 9)(2x + 1)

c)

3(5x2+3)(2x-1)

d)

(15x + 9)(2x + 1)