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Worksheets

Adding, Subtracting, and Multiplying Polynomials

Total questions: 15

Worksheet time: 33mins

Name
Class
Date
1.

Write x2 + 4x – 3x3 + 6 in standard form

a)

–3x3 + x2 + 4x + 6

b)

x2 – 3x3 + 4x + 6

c)

6 + 4x – 3x3 + x2

d)

6 – 3x3 + 4x + x2

2.

Write 4x3 – 6x + 2x5 + 3 in standard form

a)

3 – 6x + 4x3 + 2x5

b)

4x3 + 3 + 2x5 – 6x

c)

2x5 + 4x3 – 6x + 3

d)

–6x + 4x3 + 3 + 2x5

3.

Find (9t2 + 4t – 6) – (t2 – 2t + 4)

a)

8t2 + 6t – 10

b)

8t2 + 2t – 2

c)

9t2 + 6t – 2

d)

9t2 + 6t – 10

4.

Simplify 3b2(4b + 7) – 2b(b2 – 5b – 3) – 6(b – 2)

a)

14b3 + 11b2 – 12b – 12

b)

14b3 + 31b2 + 12b + 12

c)

41b2 + 12

d)

10b3 + 31b2 + 12

5.

Simplify 5c2(c + 10) – 4c(2c2 – 6c + 1)

a)

–3c3 + 74c2 – 4c

b)

–3c3 – 26c2 + 4c

c)

–3c3 – 6c + 11

d)

3c3 – 9c + 11

6.

Find (3c2 – 8c + 5) + (c2 – 8c – 6)

a)

3c2 – 1

b)

4c2 + 11

c)

4c2 – 16c – 1

d)

2c2 – 16c – 1

7.

Solve 5x2 – 3x = (7x2 + 5x) – (2x2 + 16)

a)

2

b)

-2

c)

8

d)

-8

8.

Solve –4(5 – 2n) = 8(–6 – 5n)

a)

-1/9

b)

-28/3

c)

-7/8

d)

-7/12

9.

Solve x(x + 3) – 2 = 2 + x(x + 1)

a)

2

b)

-2

c)

1

d)

0

10.

Solve 6(n – 11) = 12 + 4(2n – 3)

a)

-11

b)

11

c)

-33

d)

33

11.

Find (3y – 4)(2y2 + y – 1)

a)

6y3 – 5y2 – 7y – 4

b)

6y3 – 7y2 – 7y + 4

c)

6y3 – 5y2 – 7y + 4

d)

6y3 – 5y2 + 7y + 4

12.

Find (3x + 2)(4x2 – 2x – 7)

a)

12x3 + 2x2 – 25x – 14

b)

7x3 + 9x2 – 25x – 14

c)

12x3 + 14x2 + 25x + 14

d)

7x3 + 7x2 – 4x – 5

13.

Find (–2r2 + n)2

a)

4r4 + n2

b)

–4r4 + n2

c)

4r4 – 4r2n + n2

d)

–4r4 – 4r2n + n2

14.

Find (4a2 + b)2

a)

16a4 + b2

b)

16a4 + 8a2b + b2

c)

8a4 + b2

d)

4a4 + 8a2b + b2

15.

Find (3y + 4z)(3y – 4z)

a)

9y2 – 16z2

b)

9y2 + 16z2

c)

9y2 – 24yz – 16z2

d)

9y2 – 24yz + 16z2