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Worksheets

FACTORING

Total questions: 25

Worksheet time: 19mins

Name
Class
Date
1.

Which of the following is an example of a polynomial with a common monomial factor?

a)

3x + 9

b)

2x2 - 10x

c)

4x2 + 6x + 9

d)

5x2 + 10x - 15

2.

What is the difference of two squares in the expression 4x2 - 9y2?

a)

13xy

b)

(2x - 3y)(2x + 3y)

c)

(2x - 3)(2x + 3)

d)

(2x + 3)(2x +_3)

3.

Which expression represents the sum of two cubes?

a)

x3 + 8

b)

x3 - 8

c)

x3 + 27

d)

x3 - 27

4.

What is the perfect square trinomial in the expression x2 + 6x + 9?

a)

x2 + 12x + 36

b)

x2 + 9x + 27

c)

x2 + 6x + 9

d)

x2 + 6x + 36

5.

Which of the following is a general trinomial?

a)

x2 - 4

b)

x3 + 8x2 - 4x - 32

c)

x3 - 27

d)

4x2 + 9

6.

What is the common monomial factor of 6x2 - 9x?

a)

3x

b)

x

c)

3x2

d)

6x

7.

The difference of squares for the expression x2 - 25 is:

a)

(x + 5)(x - 5)

b)

(x + 25)(x - 25)

c)

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

d)

(x - 5)2 - (x - 5)2

8.

What is the sum of cubes for the expression y3 + 64?

a)

(y + 4)3

b)

(y - 4)3

c)

(y + 4)(y2 - 4y + 16)

d)

(y 4-)(y2 + 4y + 16)

9.

Identify the perfect square trinomial in the expression 16x2 - 40x + 25.

a)

4x2 - 10x + 5

b)

4x2 - 20x + 25

c)

16x2 - 20x + 5

d)

16x2 - 40x + 25

10.

Which of the following is a general trinomial?

a)

x2 - 9

b)

x3 + 8

c)

4x2 - 25

d)

x2 + 4x + 4

11.

Factoring is the process of obtaining the factorsof a product.

a)

True

b)

False

12.

The sum or difference of two cubes can be factored into a product of a binomial times a trinomial.

a)

True

b)

False

13.

The Greatest Common Factor of 12x and 24x2 is 6x.

a)

True

b)

False

14.

The result of squaring a binomial is a perfect square trinomial.

a)

True

b)

False

15.

The polynomial x2 - 1 is a difference of two squares.

a)

True

b)

False

16.

The expanded form of (x - 2)2 is x2 - 4x + 4.

a)

True

b)

False

17.

Every polynomial can be factored completely.

a)

True

b)

False

18.

Factoring is not the process of rewriting a polynomial as a product of two or more polynomials.

a)

True

b)

False

19.

Perfect square trinomials always result from squaring a binomial.

a)

True

b)

False

20.

Factoring is the opposite of expanding.

a)

True

b)

False

21.

(a)   is the process of finding the factors of an expression or a number.

22.

But to do the job properly we need the (a)   , including any variables

23.

  • 3x² is a (a)  

24.

A polynomial with 2 terms is called a (a)  

25.

  • A polynomial with 3 terms is called a (a)