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Worksheets

Classify Polynomials

Total questions: 72

Worksheet time: 1hrs 10mins

Name
Class
Date
1.
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
2.
Which polynomial is written in standard form?
a)
8x - 11x2
b)
4x3 + 7x - 9
c)
12 + 4x
d)
13x + 7x2 - 9x3 + 12
3.
Identify the degree of the monomial:
8a3
a)
8
b)
1
c)
3
d)
11
4.
A polynomial that has two terms is a:
a)
polynomial
b)
monomial
c)
binomial
5.
What is the degree of the polynomial
 x2-2x+5
a)
1
b)
2
c)
3
d)
0
6.
How many terms does this expression have:
-27a3 + 9a2 - 45a
a)
what are terms?
b)
0 terms
c)
-45 terms
d)
3 terms
7.
A power is the same as an 
a)
base
b)
exponent
c)
variable
d)
coefficient
8.
Which pair is an example of like terms?
a)
2a and 2b
b)
x and x2
c)
3k and 3k3
d)
y2 and 2y2
9.

What are the different parts and/or pieces of a polynomial that are separated by addition or subtraction signs?

a)

constant

b)

term

c)

exponent

d)

standard form

10.
What  is the dictionary definition of polynomial?
a)
consisting of many terms
b)
sloth
c)
fraction
d)
expression
11.
Is this expression in Standard Form?
6w2 - 9w3
a)

Yes

b)

No

12.
What is the coefficient of y:
4 - 2y
a)
2
b)
4
c)
-2
d)
0
13.
What is the value of the constant?
2x² + 4x − 5
a)
2
b)
4
c)
5
d)
−5
14.
What is the above expression classified as?
a)
5th degree Monomial
b)
10th degree Monomial
c)
5th degree Trinomial
d)
10th degree Polynomial
15.
4x2 + 8x - 7
is classified as a...
a)
Third Degree Monomial
b)
Second Degree Binomial
c)
Second Degree Trinomial
d)
Third Degree Cubic
16.
How many terms are in the following polynomial?
3xy - 2y + 8x - 7z -16
a)
A
1
b)
B
2
c)
C
4
d)
D
5
17.
The largest exponent which is shown in a polynomial.
a)
exponent
b)
cubic
c)
degree
d)
linear
18.

Which polynomial's degree would be classified as a constant

a)

5x

b)

4

c)

2x2

d)

7x + 5

19.

How many terms are there is 2x3 +x2 + 4x + 6

a)

4

b)

2

c)

1

d)

6

20.
What is the coefficient of x?
9 - x
a)
0
b)
1
c)
-1
d)
8
21.
Which expression contains exactly 3 terms?
a)
5 + 6xy
b)
9 + 4t
c)
8 + 2y - 5x
d)
24xy
22.

What are the coefficients in the expression 8x - 3 + 12xy?

a)

-3, 8, 12

b)

x, y

c)

8, 12

d)

There are no coefficients in this expression

23.
A number on its own that does not change and is without a variable is known as a _______________.
a)
Term
b)
Variable
c)
Coefficient
d)
Constant
24.
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
25.
Classify this polynomial by its degree and number of terms:  x2 + 6
a)
Linear polynomial
b)
Quadratic trinomial
c)
Quadratic binomial
d)
Cubic binomial
26.
Classify this polynomial by its degree and number of terms:  x3 + 2x + 6
a)
Cubic polynomial
b)
Quadratic binomial
c)
Quadratic trinomial
d)
Cubic trinomial
27.
Classify this polynomial by its degree and number of terms:  x2 + 2x + 6
a)
Linear polynomial
b)
Quadratic trinomial
c)
Quadratic binomial
d)
Cubic trinomial
28.

What is the degree of this trinomial: 3x4 + 2x2 + 5x ?

a)

1

b)

2

c)

3

d)

4

29.
The following polynomial is written in standard form:
7x3 - 11x2 + 8x - 5
a)
True
b)
False
30.
Name and Classify the Polynomial:
x² − 4
a)
quadratic binomial
b)
quadratic monomial
c)
linear binomial
d)
linear monomial
31.

Match the following

a)

8

1.

Constant Monomial

b)

-9a+11

2.

Linear Binomial

c)

x29x4x^2-9x-4

3.

Quadratic trinomial

d)

x311x^3-11

4.

Cubic Binomial

e)

3x2113x^2-11

5.

Quadratic Binomial

32.

Match the following

a)

x6+5x5+x4+x13x^6+5x^5+x^4+x-13

1.

6th degree polynomial

b)

-9

2.

Constant Monomial

c)

19+4x-19+4x

3.

Linear Binomial

d)

2x8+5x22x-8+5x^2

4.

Quadratic Trinomial

e)

11+x2-11+x^2

5.

Quadratic Binomial

33.

5x+6x=5x+6x=

34.

12x8x=-12x-8x=

35.

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

a)

Cubic monomial

b)

Linear binomial

c)

Cubic binomial

d)

6th degree (sextic) monomial

36.
Classify this polynomial by its degree and number of terms:  x3 + 2x + 6
a)
Cubic polynomial
b)
Quadratic binomial
c)
Quadratic trinomial
d)
Cubic trinomial
37.
Classify this polynomial by its degree and number of terms:  x2 + 2x + 6
a)
Linear polynomial
b)
Quadratic trinomial
c)
Quadratic binomial
d)
Cubic trinomial
38.

What is the the DEGREE:

4x3 - 5x2 + 2x - 1

a)

1

b)

2

c)

3

d)

4

39.
Classify this polynomial by its degree and number of terms:  x2 + 6
a)
Linear polynomial
b)
Quadratic trinomial
c)
Quadratic binomial
d)
Cubic binomial
40.

What is the coefficient of this term?

9x3

a)

None

b)

9

c)

3

d)

x

41.

What is the degree of this polynomial?

2x4 - 3x5 + x

a)

-3

b)

2

c)

4

d)

5

42.

What is the constant of this polynomial?

2x3 - 8x2 + 3x - 7

a)

2

b)

-8

c)

3

d)

-7

43.

How many terms are in this polynomial?

2x3 - 8x2 + 3x - 7

a)

7

b)

1

c)

4

d)

2

44.
Degree Zero
a)
Constant
b)
Linear
c)
Quadratic
d)
Cubic
45.
What is the name of the degree of a polynomial that has a variable with invisible exponents?
( ex. n  or  n1 )
a)
constant
b)
linear
c)
quadratic
d)
cubic
46.
What is the name of the degree of a polynomial that has an exponent of 2?
( ex. n squared or  n2 )
a)
constant
b)
linear
c)
quadratic
d)
cubic
47.
What is the name of the degree of a polynomial that has an exponent of 3?
( ex. t cubed or  3 )
a)
constant
b)
linear
c)
quadratic
d)
cubic
48.
What is the name of a 4th degree polynomial ?
( ex. x4 or m2n2  )
a)
quartic
b)
fourtic
c)
quadratic
d)
cubic
49.
What is the name of a 5th degree polynomial ?
( ex. x5 or  mn4  or  r2s3 )
a)
constant
b)
linear
c)
quadratic
d)
quintic
50.
What are like terms?
Terms that have....
a)
the same variables
b)
the same exponents
c)
the same coefficients
d)
the same variables and exponents
51.
When you combine like terms, what do you do with the exponents?
a)
Add them
b)
Multiply them
c)
Nothing
52.
Degree One
a)
Constant
b)
Linear
c)
Quadratic
d)
Cubic
53.
Degree Two
a)
Quartic
b)
Linear
c)
Quadratic
d)
Cubic
54.
Degree Three
a)
Quartic
b)
Linear
c)
Quadratic
d)
Cubic
55.
Degree Four
a)
Quartic
b)
Quintic
c)
Quadratic
d)
Cubic
56.
Degree Five
a)
Quartic
b)
Quintic
c)
Quadratic
d)
Cubic
57.
Degree 6
a)
Quartic
b)
Quintic
c)
Sixtic
d)
6th Degree
58.
1 Term
a)
Monomial
b)
Binomial
c)
Trinomial
d)
Polynomial
59.
2 Term
a)
Monomial
b)
Binomial
c)
Trinomial
d)
Polynomial
60.
3 Term
a)
Monomial
b)
Binomial
c)
Trinomial
d)
Polynomial
61.
4 Term
a)
Monomial
b)
Binomial
c)
Trinomial
d)
Polynomial
62.
Lots of Terms (4+)
a)
Monomial
b)
Binomial
c)
Trinomial
d)
Polynomial
63.
What is the leading coefficient of the polynomial?
  7x5 - 9x2 + 6x
a)
7
b)
5
c)
9
d)
2
64.
What is the leading coefficient of the polynomial?
  9x5 + 2x4 - x3 + 9x2 - 2
a)
5
b)
9
c)
2
d)
4
65.
What is the value of the constant?
2x² + 4x − 5
a)
2
b)
4
c)
5
d)
−5
66.

What is the leading coefficient of this polynomial?

a)

8

b)

-4

c)

-1

d)

1

67.

What is the leading coefficient of this polynomial?

a)

-3

b)

12

c)

1

68.

What is the leading coefficient of this polynomial?

a)

5

b)

2

c)

-1

69.

What is the degree of this polynomial?

a)

-3

b)

12

c)

1

70.

What is the degree of this polynomial?

a)

5

b)

2

c)

-1

71.

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

72.

Fill in the blank. The __________ is the highest exponent of a variable when a polynomial is in standard form.

a)

coefficient

b)

degree

c)

monomial

d)

term