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Worksheets

Operations with Polynomials Practice

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

Add the polynomials:
(3x3+3x2–4x+5) + (x3–2x2+x–4)

a)

4x3 + 1x2 – 3x + 1

b)

2x3 + 1x2 - 5x + 9

c)

6x3 + 1x - 1x2 - 3

d)

3x5 +1x - 1x5 - 3x

2.

(6b3 + 6 - b4) - (8b3 - 6b4 + 2)

a)

4b4 - 2b3 + 7

b)

5b4 - 2b3 + 4

c)

b4 - 2b3 + 7

d)

5b4 - 2b3 + 7

3.
a)
A
b)
B
c)
C
d)
D
4.
a)
A
b)
B
c)
C
d)
D
5.

Write an expression in simplified form to represent the area of the rectangle.

6.

Write an expression in simplified form to represent the area of the rectangle.

7.
a)
5p- 16p
b)
5p + 4
c)
5p - 4
d)
5p + 4p
8.

Simplify the expression.
(4n4-8n+4) - (8n2+4n4+1)

a)

-8n2 - 8n + 3 

b)

-7n2 - 8n + 3 

c)

-6n2 - 8n + 3

d)

-7n2 - 4n + 3

9.

Simplify the expression.
-3x2( 7x- x + 4)

a)

-21x4 + 3x3 -12x2

b)

7x2 - x + 4 (-3x2)

c)

21x+ 3x+ 12x2

d)

-12x+ 3x-21x4

10.

How many terms are in the following polynomial?
3x3 - 2y + 8x -16

a)

1

b)

2

c)

4

d)

-16

11.

A rectangle has width (2x + 3) and length (2x - 4).  What is the perimeter of the rectangle?

a)

4x - 12

b)

4x - 1

c)

8x - 2

d)

4x- 2x - 12

12.

If A + B = C, what must B equal?

a)

x2 - 10x + 7

b)

5x2 - 4x + 17

c)

x2 - 4x + 7

d)

5x2 - 10x + 17

13.

-5x3(2x2 - 6x + 8)

a)

-7x5 + 11x4 - 13

b)

-10x5 +30x4 - 40x3

14.

8x4 8x8 6x4 6x8

a)

8x4

b)

8x8

c)

6x4

d)

6x8

15.

Divide:
(9x2 + 6x)  ÷ 3x

a)

3x + 2

b)

3x2 + 2x

c)

5x2

d)

3x + 6

16.
a)
5w 2 − 4w + 3
b)
12w 2 − 9w + 6
c)
12w 2 − 12w + 9
d)
5w 2 − 12w+ 9
17.

Divide the polynomial by the monomial.

a)

15x9 - 8x3

b)

3x6 - 8x3

c)

-5x12

d)

3x6 - 40x3

18.

Classify by the DEGREE:
4x3 - 5x2 + 2x - 1

a)

Degree of 1

b)

Degree of 2

c)

Degree of 3

d)

Degree of 4

19.

Classify by number of terms:
3x2 – 8x + 1

a)

Monomial

b)

Binomial

c)

Trinomial

d)

4-Term Polynomial

20.

Multiply:
(4x+1)(5x−2)

a)

20x2 + 3x − 2

b)

20x2 − 11x + 5

c)

20x2 − 18x + 2

d)

20x2 − 3x − 2