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Math 8 factoring

Total questions: 15

Worksheet time: 20mins

Name
Class
Date
1.

What is the GCF of 2, 4, and 8?

a)

2

b)

4

c)

6

d)

8

2.

What is the GCF of 21 and 28?

a)

5

b)

6

c)

7

d)

8

3.

What is the GCF of a2b3 and a3b

a)

ab

b)

a2b3

c)

ab2

d)

a2b

4.

What is the GCF of x2y2 and x3y3

a)

x2y2

b)

x2y3

c)

xy2

d)

x2y

5.

What is the GCF of xy2 , x3y and xy

a)

x2y2

b)

xy

c)

xy2

d)

x2y

6.

Factor 3xy2 + 9x3y - 12xy using common monomial factor

a)

3x2y2 (x + 3xy - 4)

b)

3xy (y + 3x2 - 4)

c)

3xy (y - 3x2 + 4)

d)

3x2y2 (x - 3xy - 4)

7.

Factor 15x2y2z3 + 25x3y3 using common monomial factor

a)

3x2y2z (5xy + 5xy)

b)

5x2y2 (3z3 + 5xy)

c)

3x3y3z (5xy + 5xy)

d)

5x3y3 (3z3 + 5xy)

8.

Factor 12a2b3 - 20a3b using common monomial factor

a)

2a2b (6b2 - 10a)

b)

2a2b (6b2 + 10a)

c)

4a2b (3b2 - 5a)

d)

4a2b (3b2 + 5a)

9.

What is the square root of 1?

a)

1

b)

2

c)

3

d)

4

10.

What is the square root of 36?

a)

4

b)

5

c)

6

d)

7

11.

Factor 16 - 4x2 by difference of two squares

a)

(4 + 2x) (4 - 2x)

b)

(4 + 2x2) (4 - 2x2)

c)

(4 - 2x) (4 - 2x)

d)

(4 - 2x2) (4 - 2x2)

12.

Factor 4a6 - 4a4 by difference of two squares

a)

(2a3 + 2a) (2a3 - 2a)

b)

(2a3 + 2a2) (2a3 - 2a2)

c)

(2a3 - 2a) (2a3 - 2a)

d)

(2a3 - 2a2) (2a3 - 2a2)

13.

Factor 9a8 - b2 by difference of two squares

a)

(3a4 + b) (3a4 - b)

b)

(3a4 - b) (3a4 - b)

c)

(3a2 + b) (3a2 - b)

d)

(3a2 - b) (3a2 - b)

14.

Factor u10 - i4 by difference of two squares

a)

(u5 - i2) (u5 - i2)

b)

(u5 - i) (u5 - i)

c)

(u5 + i) (u5 - i)

d)

(u5 + i2) (u5 - i2)

15.

Factor 49m2 - e2 by difference of two squares

a)

(7m - e) (7m - e)

b)

(7m - e) (7m + e)

c)

(7m + e2) (7m - e2)

d)

(7m2 + e) (7m2 - e)