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Worksheets

Gcf and Factoring Polynomials

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

Factor the polynomial x24x+4x^2 - 4x + 4 .

(a)  

2.

Factor the polynomial x29x+14x^2 - 9x + 14 .

(a)  

3.

Rewrite the polynomial x2+3x10x^2 + 3x - 10 as a product of polynomials.

(a)  

4.

Factor the polynomial x26x+8x^2 - 6x + 8 .

(a)  

5.

Factor by GCF:
10x2 + 15x - 5

a)

25(10x3+45x-15)

b)

5(2x3 + 3x2-x)

c)

x(10x3+15x-5)

d)

5(2x2+3x-1)

6.

Factor the polynomial 12x2+16x12x^2 + 16x by the greatest common factor.

a)

4x(3x+4)4x(3x + 4)

b)

4x(3x2+4x)4x(3x^2 + 4x)

c)

2x(6x+8)2x(6x + 8)

d)

4x2(3x+4)4x^2(3x + 4)

7.

Factor out the GCF of the polynomial 9x3+12x2+15x9x^3+12x^2+15x

(a)  

8.

Factor the polynomial x25x14x^2 - 5x - 14 .

(a)  

9.

Rewrite the polynomial 2x2+4x162x^2+4x-16 as a product of polynomials. FACTOR OUT GCF FIRST!!!

(a)  

10.

Factor the polynomial x210x+21x^2 - 10x + 21 .

(a)  

11.

Factor the GCF out of the polynomial 24x2y+6xy+9y224x^2y+6xy+9y^2

(a)  

12.

Factor the polynomial x28x+12x^2 - 8x + 12 .

(a)  

13.

Rewrite the polynomial x2+4x12x^2 + 4x - 12 as a product of polynomials.

(a)  

14.

Factor the polynomial x23x10x^2 - 3x - 10 .

(a)  

15.

Rewrite the polynomial 2x2+18x+402x^2+18x+40 as a product of polynomials. FACTOR OUT THE GCF FIRST!!

(a)  

16.

Factor by using GCF:

3x3 + 9x2 - 15x

a)

x(3x2 + 9x - 15)

b)

3x(x2 + 3x - 5)

c)

3x(x2 - 9x + 15)

d)

x(3x2 -9x + 15)

17.

Factor by using GCF:

4b5+4b3+16b2

a)

4b3(b4+b2+4b)

b)

4b3(b4+4b+5)

c)

4(b5+b3+4b2)

d)

4b2(b3+b+4)

18.

Factor by using GCF: 8r3 + 16r2

a)

4r2(2r + 4)

b)

8r2(r + 2)

c)

8(r3 + r2)

d)

4(r3 + 2r2)

19.

What is the first step when factoring polynomials?

a)

Find the GCF

b)

List all the terms

c)

Make a triangle

d)

Write the answer

20.

Factor the GCF
39y5 + 12y- 3y3

a)

3y(13y4 + 4y3 - y2)

b)

3y3(13y2 + 4y - 1)

c)

y3(39y2 + 12y - 3)

d)

not factorable