Free Printable Multiplying and Factoring Polynomials

1.

Simply the expression $3\left(2x-5\right)$

a)

$6x+15$

b)

$-6x-15$

c)

$6x-15$

d)

$-6x+15$

2.

Simplify the expression $-7\left(4x-5\right)$

a)

$-28x-35$

b)

$28x+35$

c)

$28x-35$

d)

$-28x+35$

3.

Simplify the expression $\left(3x^2-2x+1\right)+\left(x^{2\ }+5x-4\right)$

a)

$4x^2-7x-3$

b)

$4x^{2\ }+3x-3$

c)

$4x^{2\ }+3x+5$

d)

$4x^2-3x-3$

4.

Simplify $3x\left(7x-6\right)$

a)

$21x^2+18x$

b)

$21x-18$

c)

$21x^{2\ }-18$

d)

$21x^2-18x$

5.

Factor completely

8x^2-20x

a)

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

b)

$x\left(8x-20\right)$

c)

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

d)

$8x\left(x-3\right)$

6.

Factor completely $4x-10$

a)

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

b)

$2\left(2x+5\right)$

c)

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

d)

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

7.

Simplify the expression $2\left(x-3\right)+3\left(2x+1\right)_{ }$

a)

$8x-3$

b)

$8x+3$

c)

$8x+9$

d)

$8x-9$

8.

Classify by number of terms:
3x² – 8x + 1

a)

Monomial

b)

Binomial

c)

Trinomial

d)

4-Term Polynomial

9.

How many terms are in the following polynomial?
3x³ - 2y + 8x -16

a)

1

b)

2

c)

4

d)

5

10.

Simplify:
5(3x+2)

a)

3x+10

b)

15x+10

c)

15x-10

d)

3x-10

11.

Factor by using GCF:
8n³ + 2n²

a)

2n²(4n-1)

b)

2n²(4n + 1)

c)

n²(8n+2)

d)

3n(4n+1)

12.

Factor Completely: x³ - 27x

a)

x(x² - 27)

b)

x(x + 9)(x - 3)

c)

x(x - 3)(x² + 3x + 9)

d)

(x² - 9)(x + 3x)

13.

What is the degree of the polynomial:
7x³ – 8x² + 9

a)

5

b)

2

c)

6

d)

3

14.

What is the GCF? 5x²+20x

a)

5

b)

x

c)

5x

d)

20x

15.

What is the GCF? 3x²-2x

a)

3

b)

3x

c)

x

d)

2

16.

Factor:
10x + 15

a)

100x + 150

b)

10(x + 5)

c)

1(10x + 15)

d)

5(2x + 3)

17.

Factor:
80x⁵-70x²-60x⁷

a)

2x²(80x³-70-60x⁶)

b)

10x²(80x⁴-70x-60x⁶)

c)

10x²(8x³-7-6x⁵)

d)

3x²(80x³-40-60x⁵)

18.

What is the Perimeter?

a)

3x - 3 inches

b)

6x - 6 inches

c)

3x - 6 inches

d)

6x - 3 inches

19.

Factor the greatest monomial 6x²-27x

a)

(6x+1)(x+3)

b)

3x(2x-9)

c)

6x(x-9)

d)

(3x-9)(2x+3)

20.

Multiply

2mo(10mn)

a)

20mn

b)

20mno

c)

20m²no

d)

20no

21.

Multiply

2x(3 + 14y)

a)

6 + 28y

b)

84xy

c)

6x + 14y

d)

6x + 28xy

22.

Multiply

10bc(5a + 6b - 2c)

a)

50abc + 60bc - 20 bc

b)

50abc + 60b²c - 20bc²

c)

50a + 60b - 2-c

d)

50abc + 60b²c - 20bc

23.

Find the product: −3x(4x² +x − 8)

a)

−12x³ − 3x² + 24x

b)

−12x³ + x− 8

c)

−12x³ − 3x² − 8

d)

−12x³ − 3x² + 24

24.

Factor: 3x²y − 9x

a)

3x(xy − 3)

b)

3(x²y − 3x)

c)

3xy(x − 3)

d)

9x(xy − 1)

25.

A regular pentagon (all the sides are the same length) has a perimeter of 30x + 45. What is the length of one side?

a)

6x + 9

b)

10x + 15

c)

60x + 90

d)

5x + 9

Multiplying and Factoring Polynomials

Total questions: 25

Worksheet time: 50mins

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