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Polynomials Multiply and Factoring

Total questions: 20

Worksheet time: 10mins

Name
Class
Date
1.

What is the greatest common factor for 16, 32, and 40?

a)

2

b)

16

c)

6

d)

8

2.

Which of the following is equivalent to 2x(x3-5)?

a)

2x3-10x

b)

2x4-10x

c)

2x3-10x

d)

2x4-10

3.

Completely factor the following:

5x2-10x

a)

5x(x-2)

b)

5x(x-5)

c)

5(x2-2x)

d)

5(x-5)

4.

Write x2(4x+3)-7x(x-2) as a simplified polynomial.

a)

4x3-4x2-14x

b)

4x3-4x2+14x

c)

14x

d)

4x3+10x2-14

5.

Which expression represents the product of (x2-4x+2) and (-8x)?

a)

-8x3+32x2-16x

b)

-8x3+32x2+16x

c)

-16x3-16x

d)

-8x3-32x2-16x

6.

Find the area of a rectangle with dimensions of (2x-5) and (3x-1).

a)

6x2-5

b)

6x2+5

c)

6x2-17x-5

d)

6x2-17x+5

7.

Factor the trinomial x2+11x+18.

a)

(x-2)(x-9)

b)

(x+3)(x+6)

c)

(x+2)(x+9)

d)

(x+1)(x+18)

8.

Which polynomial is equivalent to (m+3)2

a)

m2+6x+9

b)

m2+9x+9

c)

m2+9

d)

2m+6

9.

Completely factor the polynomial

8x2-12x.

a)

2x(4x-6)

b)

4(2x2-3x)

c)

4x(2x-3)

d)

x(8x-12)

10.

The base of a rectangle is (x+2) and its area is (x2-6x-16). Which expression represents the height of the rectangle?

a)

(x-3)

b)

(x+8)

c)

(x-8)

d)

(x+3)

11.

Which expression is equivalent to

x2-8x-20?

a)

(x-2)(x+10)

b)

(x+1)(x-20)

c)

(x-5)(x+4)

d)

(x-10)(x+2)

12.

The length of a rectangular poster is

(x-9) and its area is

(x2-5x-36).

What is the width of the poster?

a)

(x+4)

b)

(x-4)

c)

(x-6)

d)

(x+5)

13.

What is the simplest form of (2r-7)(2r+7)

a)

4r2-28r-49

b)

4r2-49

c)

4r2+49

d)

4r

14.

Completely factor the trinomial

2x2-14x+20

a)

2(x-2)(x+5)

b)

2(x+2)(x+5)

c)

2(x-2)(x-5)

d)

2(x+2)(x-5)

15.

Which expression is equivalent to 15x2-x-2

a)

(5x+2)(3x-1)

b)

(5x-2)(3x+1)

c)

(5x+2)(3x+1)

d)

(5x-2)(3x-1)

16.

Which expression is equivalent to

(p-4)(p+9)?

a)

p2-36

b)

p2-5p+36

c)

p2+11p-36

d)

p2+5p-36

17.

Factor the binomial

25m2-16.

a)

(5m-4)(5m-4)

b)

(5m+4)(5m+4)

c)

(5m-4)(5m+4)

d)

(5m2-4)(5m2+4)

18.

Simplify the expression.

a)
b)
c)
d)
19.

What is the y-intercept of the graph represented by

y=(x+3)(x+2)

a)

-2

b)

-3

c)

6

d)

0

20.

What is the GCF for 2x2+8x3

a)

8x

b)

2x2

c)

2 + 8

d)

No one knows.