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Worksheets

Identifying and Classifying Polynomials

Total questions: 14

Worksheet time: 14mins

Name
Class
Date
1.

Is the following a polynomial?

6a3

Notice that the exponent is NOT a variable.

a)

Yes, it is a polynomial

b)

No, it is not a polynomial

2.

Is this expression a polynomial or not a polynomial?

NOTE - A variable is in the denominator of the expression.

a)

Yes, it is a polynomial.

b)

No, it is not a polynomial

3.
Is this expression a polynomial or not?
5x4 - 7x
a)
polynomial
b)
not a polynomial
4.

Is this expression a polynomial or not?

NOTE: A variable is under the radical.

a)

polynomial

b)

not a polynomial

5.

Is the following a polynomial? Take note that the exponent is a variable.

9m

a)

yes

b)

no

6.
Classify the polynomial expression.
a)
quadratic binomial
b)
not a polynomial
c)
quadratic monomial
d)
binomial
7.

Which of the statements below are NOT true when it comes to describing the following expression?

0.234y99

a)

It's a polynomial.

b)

It has a degree of 0.234.

c)

It has a coefficient of 0.234.

d)

It has a degree of 99.

8.
Classify the following polynomial?
5p4 − 2p5
a)
quadratic binomial
b)
quartic binomial
c)
quintic binomial
d)
none of the above
9.

Is the expression below a polynomial?

x0.25 − x


NOTE: The first term of the expression has a decimal exponent. Remember, a polynomial can not have fractional exponents. This includes decimals that be written as fractions.

a)

Yes, it is a polynomial.

b)

No, it is not a polynomial.

10.

Classify the polynomial below by degree:

9x

a)

Constant

b)

Linear

c)

Quadratic

d)

Cubic

11.

What is the leading coefficient of this polynomial?

a)

8

b)

-4

c)

-1

d)

1

12.

What is the degree of the polynomial?

Remember: If a term has more than one variable with exponents - add them.

a)

2

b)

3

c)

4

d)

5

13.

What is the degree of this expression?

8a3

Notice that the exponent is NOT a variable.

a)

8

b)

1

c)

3

d)

cannot be determined; the expression is not a polynomial

14.

How many terms are in the polynomial below.

Remember to simplify first.

8a3 +2a3

a)

2

b)

1

c)

3

d)

cannot be determined; the expression is not a polynomial