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Worksheets

Review Polynomials

Total questions: 25

Worksheet time: 33mins

Name
Class
Date
1.
The area of a rectangular pool table is: x2 + 14x +40. 
The length is x+4. What is the width?
a)
(x + 8)
b)
(x + 14)
c)
(x + 10)
d)
(x +4)
2.
Simplify.
(x-2)(x+1)
a)
x2- 2x - 2
b)
x- 2
c)
x+ x + 2
d)
x2- x - 2
3.
Simplify.
(x-3)2
a)
x2- 6x + 9
b)
x2 - 9
c)
x2 + 9
d)
x2 + 6
4.
Simplify.
(2x + 1)(x - 3)
a)
-3x - 3
b)
2x2 + 5x - 3
c)
2x2 - 5x - 3
d)
2x2 - 5x +3
5.
Simplify.
(3x - 2)(6x + 1)
a)
21x2
b)
18x2 + 9x + 2
c)
9x2 - 9x - 2
d)
18x2 - 9x - 2
6.
Simplify.
(4x3-5x2+3x) + (-2x3-x2+6x)
a)
2x- 6x- 9x
b)
2x+ 6x+ 9x
c)
-2x- 6x+ 9x
d)
2x- 6x+ 9x
7.
Simplify.
(3x + 5)(3x - 5)
a)
3x² - 9
b)
9x² + 9x - 25
c)
9x² - 25
d)
3x² + 9x + 25
8.

Find the perimeter of a rectangle with length (x - 5) and width (3x + 1).

a)

8x - 8

b)

4x - 4

c)

8x + 8

d)

3x2 - 14x - 5

9.
Find the area of a rectangle with length (x - 5) and width (3x + 1).
a)
3x+ 16x - 5
b)
3x- 14x + 5
c)
3x- 14x - 5
d)
4x2 - 14x + 5
10.

What is the quotient when (10n2 - 170n + 420) is divided by (n - 14)?

a)

10n - 30

b)

3n - 30

c)

10n + 30

d)

3n + 30

11.

Name the type of polynomial below.

6x2 + 14x + 4

a)

Square polynomial

b)

Linear binomial

c)

Quadratic trinomial

d)

Cubic trinomial

12.

Name the type of polynomial below.

12x3y7 + 8x2y3z6

a)

7th degree binomial

b)

10th degree binomial

c)

11th degree binomial

d)

21st degree binomial

13.

For which value of 'k' will the expression, (5x+k)(3x+2) - (15x2+2x+8), simplify to be a 20x?

a)

k = 2

b)

k = -6

c)

k = 4

d)

k = -4

14.

Simplify.

(4x3-5x2+3x) - (-2x3-x2+6x)

a)

6x3 - 4x2 - 3x

b)

6x3 + 6x2 + 9x

c)

6x3 - 6x2 + 9x

d)

6x3 - 4x2 + 9x

15.

Simplify:

a)
b)
c)
d)
16.

Which value for k would make the trinomial, x2+kx+24, prime?

a)

k = -14

b)

k = 11

c)

k = -10

d)

k = 23

17.

Which of the following is not a perfect square trinomial?

a)

x2-6x+9

b)

x6-4x3+4

c)

x2+18x-81

d)

x4+14x2+49

18.

Which two monomials have a GCF of 12x3y?

a)

6x3y and 18xy3

b)

12x3y2 and 24x5y3

c)

24x7yz and 60x3y4

d)

12x5y2z4 and x3y

19.

Factor completely: 8x4 - 32x2

a)

2x2(2x+4)(2x-4)

b)

4x2(2x2+4)(2x2-4)

c)

8x2(x+2)(x-2)

d)

8x2(x-2)(x-2)

20.

Factor completely: 3x2-12x-36

a)

3(x-6)(x+2)

b)

(3x-2)(x+6)

c)

3(x+6)(x-6)

d)

3(x-8)(x+2)

21.

Which statement is always true?

a)

The square of a binomial is always a binomial.

b)

Multiplying two binomials is always a trinomial.

c)

The difference of two binomials is always a polynomial.

d)

The sum of two binomials is always a binomial.

22.

Which polynomial is prime?

a)

3x2+6x+9

b)

x2+6x-16

c)

x2-9x-8

d)

49x2-121

23.

The corners of this sheet are cut and removed. It is then folded to create a rectangular prism. What expression represents the volume of the prism?

a)

2x(6)(8)

b)

2x(8-2x)(6-2x)

c)

2x(8-4x)(6-4x)

d)

(6)(8) - 4(4x2)

24.

Simplify:

a)

x2+75x+5

b)

x2+15x+1

c)

5x3+75x2

d)

x3+15x2+x

25.

Simplify: 3(2x+1)(3x-2)

a)

18x2-6

b)

54x2-9x-18

c)

18x2-3x-6

d)

18x2-6x-9