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Worksheets

Factoring Polynomial Expressions

Total questions: 20

Worksheet time: 10mins

Name
Class
Date
1.

Factor completely.


10r2+13r-3

a)

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

b)

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

c)

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

d)

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

2.

Factor completely.

15x2-20x

a)

Prime

b)

5(3x-4)

c)

5(3x2-4x)

d)

5x(3x-4)

3.

Factor completely.

108m2-36m+3

a)

3(6m-1)2

b)

3(36m2 - 12m +1)

c)

3(6m + 1)

d)

Prime

4.

Factor completely.

x3 + 1000

a)

(x + 10)(x2 + 10x + 100)

b)

(x + 10)(x2 - 10x + 100)

c)

(x + 10)(x - 10)

d)

Prime

5.

Factor completely.

k2 -6k +16

a)

(k - 4)(k - 4)

b)

(k - 4)(k + 4)

c)

Prime

d)

(k - 8)(k + 2)

6.

Factor completely.

6t2 +19tu -77u2

a)

(3t + 7u)(2t + 11u)

b)

(3t - 7u)(2t - 11u)

c)

(3t - 7u)(2t + 11u)

d)

(3t + 7u)(2t - 11u)

7.

Factor completely.

9m2 - 45m + 18m3

a)

Prime

b)

9m(2m - 1)(m + 5)

c)

9m(2m + 1)(m - 5)

d)

9m(2m2 + m - 5)

8.

Factor completely.

54m3 - 2000

a)

2(27m3 - 1000)

b)

2(3m + 10)(3m -10)

c)

Prime

d)

2(3m-10)(9m2 + 30m + 100)

9.

Factor completely.

56k3 -875

a)

Prime

b)

7(8k3 -125)

c)

7(2k - 5)(2k + 5)

d)

7(2k - 5)(4k2 + 10k + 25)

10.

Factor completely.

6k2 - k - 1

a)

(3k +1)(2k - 1)

b)

(3k -1)(2k + 1)

c)

(6k +1)(k - 1)

d)

(k +1)(6k - 1)

11.

Factor completely.

27m2 + 144mn + 192n2

a)

Prime

b)

3(9m2 +48mn + 64n2)

c)

3(3m + 8n)(3m - 8n)

d)

3(3m + 8n)2

12.

Factor completely.

p3 + 64

a)

Prime

b)

(p + 4)(p2 - 4p + 16)

c)

(p + 4)(p - 4)

d)

(p + 8)(p - 8)

13.

Factor completely.

12z3 - 6z2 + 18z

a)

Prime

b)

6z(2z2 - z + 3)

c)

z(12z - 18)(z + 1)

d)

6z(2z - 3)(z + 1)

14.

Factor completely.

z2 - zp + 20p2

a)

Prime

b)

(z - 5p)(z + 4p)

c)

(z - 5p)(z - 4p)

d)

(z - 20p)(z - p)

15.

Factor completely.

64m2 - 25n2

a)

(8m - 5n)(8m + 5n)

b)

(8m - 5n)2

c)

(8m + 5n)2

d)

Prime

16.

Factor completely.

y4 - 81

a)

Prime

b)

(y2 - 9)(y2 + 9)

c)

(y - 9)(y + 9)

d)

(y - 3)(y + 3)(y2 + 9)

17.

Factor completely.

2a3 + a2 - 14a - 7

a)

Prime

b)

a(2a + 1)(a - 7)

c)

(2a + 1)(a2 - 7)

d)

(2a + 1a)(a2 - 7)

18.

Factor completely.

y2 + 3y - 10

a)

(y - 5)(y + 2)

b)

(y - 5)(y - 2)

c)

(y + 5)(y + 2)

d)

(y + 5)(y - 2)

19.

Factor completely.

b2 - 7ba - 18a2

a)

Prime

b)

(b - 2a)(b + 9a)

c)

(b + 2a)(b - 9a)

d)

(b + 3a)(b - 6a)

20.

Factor completely.

25x2 -20xy + 4y2

a)

(5x - 2y)2

b)

(5x + 2y)2

c)

(5x - 2y)(5x + 2y)

d)

Prime