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Worksheets

Mastering Polynomials

Total questions: 20

Worksheet time: 10mins

Name
Class
Date
1.

Identify the polynomial terms in the expression: 3x^2 + 5x - 7.

a)

3x^3

b)

-7 + 2x

c)

5x^2 - 7

d)

3x^2, 5x, -7

2.

What is the sum of the polynomials: (2x^2 + 3x) + (4x^2 - 2x)?

a)

5x^2 + x

b)

6x^2 + x

c)

6x^2 - x

d)

4x^2 + 5x

3.

Subtract the polynomial (5x^3 + 2x) from (3x^3 - 4x + 1).

a)

-2x^3 - 6x + 1

b)

3x^3 + 4x - 1

c)

5x^3 - 2x + 1

d)

-2x^3 + 6x + 1

4.

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

a)

x^2 - x - 6

b)

x^2 + 5x - 6

c)

x^2 - 5

d)

x^2 + x + 6

5.

Factor the polynomial: x^2 - 9.

a)

(x - 3)(x + 3)

b)

(x - 3)(x - 3)

c)

(x - 9)(x + 1)

d)

(x - 4)(x + 4)

6.

Evaluate the polynomial 2x^2 + 3x - 5 for x = 2.

a)

4

b)

7

c)

11

d)

9

7.

Identify the degree of the polynomial: 4x^3 - 2x + 1.

a)

4

b)

2

c)

3

d)

1

8.

What is the result of adding the polynomials: (x^2 + 4) + (3x^2 - 2)?

a)

4x^2 + 2

b)

2x^2 + 6

c)

x^2 - 2

d)

3x^2 + 4

9.

Subtract the polynomial (x^2 + 5x + 6) from (2x^2 - 3x + 4).

a)

2x^2 + 2x + 2

b)

x^2 + 2x - 2

c)

x^2 - 8x - 2

d)

3x^2 - 8x + 10

10.

Multiply the polynomials: (2x + 3)(x - 1).

a)

2x^2 - 3

b)

2x^2 + 4x - 3

c)

2x^2 + x - 3

d)

x^2 + 3x - 2

11.

Factor the polynomial: x^2 + 5x + 6.

a)

(x + 2)(x + 3)

b)

(x + 1)(x + 6)

c)

(x + 4)(x + 2)

d)

(x + 3)(x + 4)

12.

Evaluate the polynomial 3x^2 - 4x + 1 for x = -1.

a)

6

b)

8

c)

10

d)

4

13.

Identify the constant term in the polynomial: 7x^4 - 3x^2 + 2.

a)

0

b)

2

c)

7

d)

-3

14.

What is the product of the polynomials: (x + 1)(x + 2)(x + 3)?

a)

x^3 + 6x^2 + 10x + 7

b)

x^3 + 5x^2 + 10x + 5

c)

x^3 + 7x^2 + 12x + 8

d)

x^3 + 6x^2 + 11x + 6

15.

Factor the polynomial: 2x^2 + 8.

a)

2(x^2 - 4)

b)

2(x^2 + 4)

c)

(x + 2)(x + 2)

d)

2x(x + 4)

16.

Evaluate the polynomial 5x^3 - 2x^2 + x for x = 1.

a)

3

b)

6

c)

5

d)

4

17.

Identify the leading coefficient of the polynomial: 6x^4 - 3x^3 + 2x - 1.

a)

-3

b)

2

c)

6

d)

-1

18.

What is the sum of the polynomials: (x^2 - 4) + (2x^2 + 3x)?

a)

x^2 + 3x - 4

b)

3x^2 - 4

c)

2x^2 + 3x + 4

d)

3x^2 + 3x - 4

19.

Subtract the polynomial (3x^2 + 2x) from (4x^2 - x + 5).

a)

2x^2 + x + 5

b)

4x^2 - 3x + 5

c)

x^2 - 3x + 5

d)

x^2 + 3x + 5

20.

Multiply the polynomials: (x - 2)(x^2 + 3x + 4).

a)

x^3 + 5x + 6

b)

x^3 + x^2 - 2x - 8

c)

x^3 - 2x^2 + 4

d)

x^3 + 3x^2 - 6