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Worksheets

Factoring Polynomials by Grouping

Total questions: 8

Worksheet time: 40mins

Name
Class
Date
1.

Factor 28x2 + 63x + 12x + 27 by grouping. Remember to look for common factors first.

a)

(4x + 3)(7x + 9)

b)

(7x + 3)(4x + 9)

c)

(3x + 7)(4x + 9)

d)

(9x + 4)(3x + 7)

2.

Factor 4y3 + y + 12y2 + 3 by grouping. Remember to look for common factors first.

a)

4y2(y + 3) + 3

b)

4y3 + 12y2 + y + 3

c)

(4y2 + 1)(y + 3)

3.

Factor 2x2 + 4x – 3x – 6 by grouping. Remember to look for common factors first.

a)

(2x – 3)(x + 2)

b)

2x2 + x - 6

c)

(2x + 3)(x - 2)

4.

Factor x3 – 2x – 4x2 + 8 by grouping. Remember to look for common factors first.

a)

x3 - 4x2 - 2x + 8

b)

(x – 4)(x2 – 2)

c)

(x – 2)(x2 – 4)

5.

Factor 2x9 + 8x8 + 3x4 + 12x3 by grouping. Remember to look for common factors first.

a)

(x3)(2x5 + 3)(x + 4)

b)

(2x8 + 3x3)(x + 4)

c)

(2x5 + 3)(x4 + 4x3)

6.

Factor p3 - 3p2 - 16p + 48

a)

p2 ( p - 3) (p - 3)

b)

(p2 - 16) (p - 3)

c)

(p + 4) (p - 4) (p - 3)

7.

Decide if (x-3) is a factor of 3x3+10x2-x-12

a)

Yes, it is a factor

b)

No, it is not a factor

8.

Factor by grouping:

5n³-10n²+3n-6

a)

(5n²+3)(n-2)

b)

(5n³+3)(n-2)

c)

(5n²-3)(n-2)

d)

10n(n²-6)