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Worksheets

Factoring

Total questions: 21

Worksheet time: 5hrs 15mins

Name
Class
Date
1.

What is the first step when factoring polynomials?

a)

Find the GCF

b)

List all the terms

c)

Make the X and fill in the top and bottom

d)

Multiply a and c

2.
Which of the following is a factor of x2-10x+24?
a)
x-4
b)
x+4
c)
x+6
d)
x-2
3.
Factor:
2x² + 11x + 14
a)
(x + 7)(2x + 2)
b)
(x + 2)(2x + 7)
c)
(x + 14)(2x + 1)
d)
(x + 1)(2x + 14)
4.
Factor:x- 25
a)
( x + 5 ) ( x - 5 ) 
b)
( x - 5 ) ( x - 5 ) 
c)
( x + 5 ) ( x + 5 ) 
d)
Prime
5.
What are the factors of
25x2 - 81?
a)
(5x - 9)(5x + 9)
b)
(5x - 9)(5x - 9)
c)
(5x + 9)(5x + 9)
d)
Cannot be factored
6.

Factor 4b5+4b3+16b2

a)

4b3(b4+b2+4b)

b)

4b3(b4+4b+5)

c)

4(b5+b3+4b2)

d)

4b2(b3+b+4)

7.
Factor completely.
k2 -2k - 24
a)
(k+4)(k-6)
b)
(k+4)(k+6)
c)
(k+6)(k-1)
d)
(k-4)(k+6)
8.
Factor completely:
 3x² + 5x - 12
a)
(3x + 4)(x-3)
b)
(3x - 4)(x + 3)
c)
(3x + 3)(x -4)
d)
(3x - 3)(x + 4)
9.
Factor completely: 2x2+22x+60
a)
(2x+10)(x+6)
b)
(x+5)(x+6)
c)
2(x+1)(x+30)
d)
2(x+5)(x+6)
10.
Factor completely: x2+16x+64
a)
(x+4)(x+16)
b)
(x-8)(x-8)
c)
(x+2)(x+32)
d)
(x+8)(x+8)
11.
Factor completely: x2-13x+40
a)
(x-5)(x-8)
b)
(x+5)(x+8)
c)
(x-4)(x-10)
d)
(x-2)(x-20)
12.
Factor completely: 3x2-8x+4
a)
(3x-4)(x-1)
b)
(3x-2)(x-2)
c)
(x+1)(3x+4)
d)
(x+2)(3x+2)
13.
Factor
x+ 9x - 36
a)
(x + 12)(x - 3)
b)
(x + 9)(x - 4)
c)
(x - 12)(x + 3)
d)
(x - 9)(x - 4)
14.
Factor:
 2x² - 3x - 2
a)
(2x - 2)(x + 1)
b)
(2x + 1)(x - 2)
c)
(2x - 1)(x - 2)
d)
(2x - 1) (x - 1)
15.
Factor completely.
5x2 - 7x + 2
a)
5(x - 2)(x + 1)
b)
(5x - 2)(x + 1)
c)
(7x - 1)(x - 4)
d)
(5x - 2)(x - 1)
16.
Factor Completely.  
8x3 - 18x
a)
2x(4x2-9)                                    
b)
(4x2+3)(2x-3)
c)
2x(2x+3)(2x-3)
d)
PRIME
17.
Factor
10x2 + 15x-5
a)
25(10x3+45x-15)
b)
5(2x3 + 3x2-x)
c)
x(10x3+15x-5)
d)
5(2x2+3x-1)
18.
Factor
4x2-25x+25
a)
4(x-5)(x+5)
b)
(x+5)(4x+5)
c)
(x-5)(4x-5)
d)
(x+2)(9x+1)
19.
Which of the following is a factor of
4n2-17n-15?
a)
n+5
b)
4n-5
c)
4n-3
d)
4n+3
20.
Factor completely.
3x2 + 10x - 8
a)
(3x + 2)(x + 4)
b)
(7x + 5)(x + 2)
c)
(3x - 2)(x + 4)
d)
(7x - 3)(x - 4)
21.
Which of the following is a factor of 3x² - 7x + 2?
a)
x - 1
b)
x - 2
c)
3x - 2
d)
3x + 1