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Worksheets

Polynomials Midway Formative

Total questions: 16

Worksheet time: 30mins

Name
Class
Date
1.

Simplify the expression.


(x3-x2+4) - (3x3-2x2+3)

a)

-2x3-3x2+7

b)

-2x3+x2+1

c)

2x3-3x3-1

d)

4x3-3x2+7

2.

Which of the following polynomials has:

• degree 4,

• 3 terms, and

• 2 variables?

a)
b)
c)
d)
3.

What is the standard form of the polynomial?

9x2 + 5x + 27 + 2x3

a)

27 + 5x + 9x2 + 2x3

b)

9x2 + 5x + 2x3 + 27

c)

9x2 + 5x + 27 + 2x3

d)

2x3 + 9x2 + 5x + 27

4.

Expand and Simplify:

(x - 3)2

a)

x2 - 9

b)

x2 + 9

c)

x2 - 6x - 9

d)

x2 - 6x + 9

5.

-5x6(3x2 - 12x + 30)

a)

-15x8 + 60x7 - 150x6

b)

15x8 - 60x7 - 150x6

c)

8x6 - 17x + 35

d)

-8x6 + 17x - 35x2

6.

Fully Factor the below expression:

-10xy9z + 8y3z5

a)

2y4z(-20xy6 + 4z4)

b)

2y3z(-5xy6 +4z4)

c)

2y3z(-5xy6z + 4z5)

d)

2y3z(-5xy6z + 8z4)

7.

Fully Factor the below expression:

80x5-70x2-60x7

a)

2x2(80x3-70-60x6)

b)

10x2(80x4-70x-60x6)

c)

10x2(8x3-7-6x5)

d)

3x2(80x3-40-60x5)

8.

Fully Factor the below expression:

x2 - 17x + 72

a)

(x-9)(x+8)

b)

(x-9)(x-8)

c)

x(x-3)

d)

(x+9)(x+8)

9.

Fully Factor the below expression:

x2 +13x + 40

a)

(x+5)(x+8)

b)

5x(x+3)

c)

3x(x+6)

d)

x(x-4)

10.

Fully Factor the below expression:

x2 - 16

a)

Prime

b)

( x - 4) ( x + 4)

c)

( x - 8) ( x + 8)

d)

( x - 4) ( x - 4)

11.

Fully Factor the below expression:

x2 - 400

a)

( x - 200) ( x + 200)

b)

( x + 20) ( x + 20)

c)

( x - 20) ( x - 20)

d)

( x - 20) ( x + 20)

12.

Fully Factor the below expression:

12x2y - 8x3y2

a)

2x2y(6-4xy)

b)

4x2y(3-2xy)

c)

2xy(6x-4x2y)

d)

4xy(3x-2x2y)

13.

x2 + 16

a)

Prime

b)

( x - 4) ( x + 4)

c)

( x - 8) ( x + 8)

d)

( x - 4) ( x - 4)

14.

Fully Factor the below expression:

x2 + 18x + 81

a)

(x + 9)(x – 9)

b)

(x + 18)2

c)

(x + 9)2

d)

(x + 6)2

15.

Determine if 16h2 - 9a2 is the difference of two squares and if it is, what are those factors?

a)

The expression is not a difference of squares. It is prime.

b)

No, its not. The factors are

(4h + 3a)2

c)

Yes it is. The factors are

(4h + 3a) (4h - 3a)

16.

Expand and Simplify:

(x2 - 4) (x3 - 2x)

a)

x6 -6x3 + 8x

b)

x5 -6x3 + 8

c)

x5 -6x3 + 8x

d)

x5 -6x6 + 8x