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Worksheets

Polynomial Degree

Total questions: 28

Worksheet time: 17mins

Name
Class
Date
1.
Classify this polynomial by its degree and number of terms:  x2 + 6
a)
Linear polynomial
b)
Quadratic trinomial
c)
Quadratic binomial
d)
Cubic binomial
2.
Classify this polynomial by its degree and number of terms:  x2 + 2x3 + 6
a)
Cubic polynomial
b)
Quadratic binomial
c)
Quadratic trinomial
d)
Cubic trinomial
3.

Classify this polynomial by its degree and number of terms: 4x3 y3

a)

Cubic monomial

b)

Linear binomial

c)

Cubic binomial

d)

6th degree monomial

4.

8

a)

Constant polynomial

b)

Linear monomial

c)

Constant monomial

d)

Linear monomial with 0 terms

5.

9x4

a)

Quadratic polynomial

b)

Quartic monomial

c)

9th degree monomial

d)

Cubic monomial

6.
Is b + 8 a monomial?
a)
yes
b)
no
7.
Classify 4mn2 + 2mn5 by degree
a)
3
b)
6
c)
9
8.
Classify 5y2z4 - 2yz7 + 8y2z by degree
a)
3
b)
6
c)
8
d)
15
9.
Classify ab4 - ab9 by degree
a)
4
b)
5
c)
10
d)
14
10.
A number, a variable, or the product of a number and one or more variables with whole number exponents...
a)
monomial
b)
binomial
c)
trinomial
d)
polynomial
11.

True or false?

To find the leading coefficient, we have to write our polynomial so that the order of the degree goes from least to greatest?

a)

true

b)

false

12.
Classify the polynomial by degree and number of terms.
a)
Quadratic trinomial
b)
Cubic polynomial
c)
Quartic polynomial
d)
Linear binomial
13.
Is this expression in Standard Form?
6w2 - 9w3
a)
Yes
b)
No
14.

What is the degree of this polynomial?

2x4 - 3x5 + x

a)

-3

b)

2

c)

4

d)

5

15.

What is the constant of this polynomial?

2x3 - 8x2 + 3x - 7

a)

7

b)

-8

c)

3

d)

-7

16.

What is the leading term of this polynomial?

4x3 + 8x5 - 4x2 + 1x

a)

1x

b)

8x5

c)

4x3

d)

-4x2

17.

What is the leading coefficient of the following?

2x3-8x5+3x-7

a)

2

b)

-8

c)

3

d)

-7

18.
Which polynomial is written in standard form?
a)
-3x + 8x2 + 9x3 - 11
b)
9x3 + 8x- 3x - 11
c)
8x+ 9x3 -11 - 3x
d)
-11 - 3x + 8x2 + 9x3
19.

Which ones are polynomials? (You may select more than one.)

a)
b)
c)
d)
20.

Fill in the blank. The ________ is the number in front of the highest exponent of a variable in standard form.

a)

degree

b)

variable

c)

exponent

d)

leading coefficient

21.

What is the leading coefficient of this polynomial?

a)

-3

b)

12

c)

1

22.
Put in Standard Form.
12 - 3x3 - 10x - x2
a)
 - 3x3 - x2 - 10x + 12
b)
 3x3 - x2 + 10x + 12
c)
12 - 3x3 - 10x - x2
It is in Standard Form.
d)
12 - 10x - 3x3 - x2
23.

What is the degree of the monomial?

2x2y3z

a)

2

b)

3

c)

5

d)

6

24.
What is the degree of the monomial?
a)
5
b)
3
c)
8
d)
9
25.
What is the degree of the monomial?
a)
2
b)
4
c)
6
d)
7
26.
What is the degree of the polynomial?
a)
6
b)
7
c)
4
d)
5
27.

Put the polynomial in standard form.


-4ab + 5b2 + 10a2

a)

-4ab + 5b2 + 10a2

b)

10a2 - 4ab + 5b2

c)

10a2 + 5b2 - 4ab

d)

5b2 - 4ab + 10a2

28.

Put the polynomial in standard form.


7xy - 12y2 + 8xz + 5x2

a)

5x2 + 7xy + 8xz - 12y2

b)

- 12y2 + 5x2 + 7xy + 8xz

c)

5x2 - 12y2 + 7xy + 8xz

d)

- 12y2 + 7xy + 8xz + 5x2