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Algebra B: Adding, Subtracting, and Multiplying Polynomials

Total questions: 20

Worksheet time: 28mins

Name
Class
Date
1.

Classify the following polynomial according to its terms:

4x2 + 5x -7

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Polynomial

2.

Classify the following polynomial according to its terms:

-3x2 + 17

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Polynomial

3.

Classify the following polynomial according to its terms:

5x11

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Polynomial

4.

True or False: The following is a polynomial:

2x4 + 3x3 - 5x2 + x -12

a)

True

b)

False

5.

Determine the degree of the following polynomial:

x4 - 9x + 1

a)

1

b)

4

c)

5

d)

-9

6.

Determine the degree of the following polynomial:

-2x2 - x5 +2x - 5

a)

5

b)

2

c)

7

d)

8

7.

Determine the degree of the following polynomial:

-7xy3z2

a)

1

b)

3

c)

2

d)

6

8.

Classify the following polynomial according to its terms:

-x4 - 2x3 +7x2 - 6x +13

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Polynomial

9.

Determine the leading coefficient of the following polynomial:

4x2 + 3x -2

a)

-2

b)

2

c)

3

d)

4

10.

Determine the leading coefficient of the following polynomial:

-8x - x3 +7x - 2

a)

-8

b)

-1

c)

7

d)

-2

11.

Which of the following polynomials is written in standard form?

a)

9 + 8x - 2x2

b)

10x + x3 - 4x2 - 11

c)

x4 + 5x3 - 6x +1

d)

4x3 + 3x4 + 2x + 1

12.

Add the following polynomials:


(x3 + 6x - 5) + (-6x2 + 4x + 3)

a)

x3 - 6x2 +10x - 8

b)

x3 - 6x2 +10x + 2

c)

x3 - 6x2 +10x - 2

d)

x3 + 4x - 2

13.

Add the following polynomials:


(12x2 + 3x4 - 6x - 2) + (-3x4 + 5x + 9 - 7x2)

a)

5x2 - x + 7

b)

6x4 + 5x2 - x + 7

c)

6x4 + 5x2 - x + 11

d)

5x2 + 11x + 11

14.

Subtract the following polynomials:


(6x2 + 10x - 9) - (4x2 - 13)

a)

2x2 + 10x - 22

b)

10x2 + 10x - 22

c)

2x2 + 10x - 4

d)

2x2 + 10x + 4

15.

Subtract the following polynomials:


(-5x2 + x3 - 2x + 3) - (-5x2 -x3 + 4x + 8)

a)

2x3 - 6x + 11

b)

2x3 - 6x - 5

c)

2x3 - 10x2 - 6x - 5

d)

- 10x2 - 6x - 5

16.

Multiply the following polynomial by the monomial:


3x(4x2 - x - 3)

a)

12x2 - 3x - 9

b)

7x3 - 3x2 - 6x

c)

12x3 - 3x2 - 9x

d)

12x3 - 3x2 - 6

17.

Multiply the following polynomial by the monomial:


-x3(2x3 - x2 + 5)

a)

-2x6 + x5 - 5x3

b)

-2x9 + x6 - 5x3

c)

-2x6 - x5 - 5x3

d)

-2x6 - x5 - 5

18.
Simplify the product.
2n(n2 + 3n + 4)
a)
2n3 + 6n2 + 8n
b)
2n3 + 3n + 4
c)
2n3 + 6n + 8
d)
n2 + 5n + 4
19.
Simplify:
a)
9n3 + 4n
b)
7n+ 6
c)
-3n+ 2
d)
7n6 + 6
20.
Simplify:
a)
-4x - 3
b)
x2 - 3
c)
-4x2 - 6x
d)
-4x - 6