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Worksheets

POLYNOMIALS

Total questions: 15

Worksheet time: 19mins

Name
Class
Date
1.

Which of the following expressions is  not a polynomial?

a)

6 a3a^3 + 2a

b)

7 x−5x^{-5} +6xy

c)

9

d)

3y

2.

What is the leading coefficient of the following polynomial?

5x2 - 3x + 6

a)

5

b)

3

c)

6

d)

-3

3.

Classify the polynomial by its degree.

x2 + 2x3 - 4

a)

linear

b)

quadratic

c)

cubic

d)

5th degree

4.

Classify the polynomial by its number of terms.

4x² - 2

a)

binomial

b)

trinomial

c)

monomial

d)

none of the above

5.

Which of the following are examples of like terms?

a)

2 and 2x

b)

y3 and x3

c)

y and x

d)

-3x and 3x

6.

Add:

(3x² - 3x + 2) + (x² - 2x + 1)

a)

4x³-2x²+2

b)

4x² - 5x + 3

c)

-2x³+2x+2

d)

4x³-2x²-2

7.

(3x − 6)(7x + 7)

a)

21x2 − 63x + 42

b)

21x2 − 21x − 42

c)

21x2 − 42

d)

21x2 + 63x + 42

8.

Find the difference.

(3- 2x + 2x2) - (4x -5 +3x2)

a)

x2 + 6x + 8

b)

2x2 + 5x - 7

c)

-x2 -6x + 8

d)

-2x2 + 11x - 4

9.

Simplify (x-7)2

a)

x2-49

b)

x2+49

c)

x2-14x+49

d)

x2-14x-49

10.

What is the GCF in this polynomial?

3x²+6x-18

a)

2

b)

6

c)

3

d)

18

11.

What is the degree of the monomial?       2y z3z^3  

a)

0

b)

4

c)

3

d)

6

12.

Simplify the expression.

x3(2x2+3x)

a)

2x5+3x4

b)

5x9

c)

2x6+3x3

d)

5x

13.

What is the first step in factoring this problem?

x2 + x - 6

a)

Multiply

b)

Add the factors of -6

c)

List the factors of -6

d)

Factor out the GCF

14.

Factor completely:

16x2 - 20xy

a)

4 (4x2 - 5xy)

b)

4x (4x - 5y)

c)

4x2 (4 - 5y)

d)

2(8 x2x^2 - 10 xy)

15.

. Factor completely:

y2 - 7y + 12

a)

(y - 3) (y - 4)

b)

(y + 3) (y - 4)

c)

(y + 3) (y + 4)

d)

(y - 2) (y - 6)