Free Printable Unit 4 Multiplying/Dividing Polynomials

1.

Simplify (green is positive and yellow is negative)

a)

10 + 6x

b)

6x -10

c)

4x

d)

16x

2.

What is the degree of the following polynomial?

3x⁴ + 4x + 1

a)

First Degree

b)

Second Degree

c)

Third Degree

d)

Fourth Degree

3.

Simplify:
5(3x+2)

a)

3x+10

b)

15x+10

c)

15x-10

d)

3x-10

4.

Simplify:
2x ( -2x -3)

a)

-4x - 3

b)

x² - 3

c)

-4x² - 6x

d)

-4x - 6

5.

Simplify the expression.
-3x²( 7x²- x + 4)

a)

-21x⁴ + 3x³ -12x²

b)

7x² - x + 4 (-3x²)

c)

21x⁴+ 3x³+ 12x²

d)

-12x²+ 3x³-21x⁴

6.

Use the Quotient Law to simplify

a)

1/m²

b)

m²

c)

m⁸

d)

1/m⁸

7.

Divide:
(6x + 9) / (3x)

a)

2 + 9/3x

b)

2 + 9

c)

2 + 9/3

d)

2

8.

Divide:
(9x² + 6) / (3x)

a)

3x + 6/3x

b)

3x + 2

c)

3 + 6/3x

d)

3x + 6

9.

Write the multiplication statement shown by the algebra tile model:

a)

$2x\ \left(x-3\right)$

b)

$\left(x-3\right)2x$

c)

$2x\ \left(-x-3\right)$

d)

$-2x\ \left(-x+3\right)$

10.

What is the product of the multiplication shown by the algebra tiles

a)

$x^2-6$

b)

$2x^2-6x$

c)

$x^2+6$

d)

$2x+6$

11.

What is the value of the missing term when you multiply: 2x (3x²-2x-4)

a)

$0x$

b)

$4x$

c)

$-4x^2$

d)

$-4x$

12.

a)

5p²- 16p

b)

5p + 4

c)

5p - 4

d)

5p + 4p

13.

a)

5w² − 4w + 3

b)

12w² − 9w + 6

c)

12w² − 12w + 9

d)

5w² − 12w+ 9

14.

a)

4y⁶

b)

4y²²

c)

30y⁶

d)

30y²²

15.

Is the following statement true or false:

When dividing powers with the same base, you subtract the exponents

a)

True

b)

False

16.

Expand and simplify the following expression:

$2\ \left(x-3\right)-4\left(x-5\right)$

a)

$2x-26$

b)

$-6x-26$

c)

$2x^2-10x-20$

d)

$-2x+14$

Unit 4 Multiplying/Dividing Polynomials

Total questions: 16

Worksheet time: 41mins

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