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Worksheets

Mastering Polynomial Operations

Total questions: 15

Worksheet time: 10mins

Name
Class
Date
1.

What is the perimeter of the triangle shown?

a)

9r2+r-5

b)

9r4+r2-4

c)

9r2-r+4

d)

9r2+r-4

2.

Simplify:

a)

9n3 + 4n

b)

7n+ 6

c)

-3n+ 2

d)

7n6 + 6

3.

What will the subtraction sign in between the polynomials do to the second polynomial?

a)

Change all of it's signs

b)

Nothing

c)

Change the sign of the first term

4.

What is the difference when polynomial 2 is subtracted from polynomial 1?

a)

2x2+9x2x^2+9x

b)

2x2+9x+122x^2+9x+12

c)

2x2+9x62x^2+9x-6

d)

4x2+9x64x^2+9x-6

5.

Simplify:

a)

-4x - 3

b)

x2 - 3

c)

-4x2 - 6x

d)

-4x - 6

6.

What operation is being done between these two polynomials?

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

7.

Add the polynomials: (3x2+2x+5)+(4x2x+3)(3x^2 + 2x + 5) + (4x^2 - x + 3)

a)

7x2+x+87x^2 + x + 8

b)

7x2+x+27x^2 + x + 2

c)

7x2+3x+87x^2 + 3x + 8

d)

7x2+x+57x^2 + x + 5

8.

Subtract the polynomials: (5x2+3x4)(2x2x+6)(5x^2 + 3x - 4) - (2x^2 - x + 6)

a)

3x2+4x103x^2 + 4x - 10

b)

3x2+4x+23x^2 + 4x + 2

c)

3x2+2x103x^2 + 2x - 10

d)

3x2+4x23x^2 + 4x - 2

9.

Multiply the polynomials: (x+2)(x3)(x + 2)(x - 3)

a)

x2x6x^2 - x - 6

b)

x23x+2x^2 - 3x + 2

c)

x2x+6x^2 - x + 6

d)

x2x6x^2 - x - 6

10.

Add the polynomials: (2x3+x23x)+(x34x2+5x+7)(2x^3 + x^2 - 3x) + (x^3 - 4x^2 + 5x + 7)

a)

3x33x2+2x+73x^3 - 3x^2 + 2x + 7

b)

3x33x2+2x73x^3 - 3x^2 + 2x - 7

c)

3x33x2+2x+73x^3 - 3x^2 + 2x + 7

d)

3x33x22x+73x^3 - 3x^2 - 2x + 7

11.

Subtract the polynomials: (6x24x+9)(3x2+2x5)(6x^2 - 4x + 9) - (3x^2 + 2x - 5)

a)

3x26x+143x^2 - 6x + 14

b)

3x26x+43x^2 - 6x + 4

c)

3x22x+143x^2 - 2x + 14

d)

3x26x+43x^2 - 6x + 4

12.

Multiply the polynomials: (2x1)(x+4)(2x - 1)(x + 4)

a)

2x2+8x12x^2 + 8x - 1

b)

2x2+7x42x^2 + 7x - 4

c)

2x2+7x12x^2 + 7x - 1

d)

2x2+8x42x^2 + 8x - 4

13.

Add the polynomials: (4x2+5x+1)+(3x22x+6)(4x^2 + 5x + 1) + (3x^2 - 2x + 6)

a)

7x2+3x+77x^2 + 3x + 7

b)

7x2+3x+57x^2 + 3x + 5

c)

7x2+7x+77x^2 + 7x + 7

d)

7x2+3x+67x^2 + 3x + 6

14.

Subtract the polynomials: (7x3+2x2x)(3x3x2+4x)(7x^3 + 2x^2 - x) - (3x^3 - x^2 + 4x)

a)

4x3+3x25x4x^3 + 3x^2 - 5x

b)

4x3+3x2+3x4x^3 + 3x^2 + 3x

c)

4x3+3x23x4x^3 + 3x^2 - 3x

d)

4x3+x25x4x^3 + x^2 - 5x

15.

Multiply the polynomials: (x2+3x)(x2)(x^2 + 3x)(x - 2)

a)

x3+x26xx^3 + x^2 - 6x

b)

x3+x26x+6x^3 + x^2 - 6x + 6

c)

x3+x26x6x^3 + x^2 - 6x - 6

d)

x3+x26x6x^3 + x^2 - 6x - 6