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Worksheets

Factoring Practice

Total questions: 16

Worksheet time: 59mins

Name
Class
Date
1.
Factor:  
8x3 - 18x
a)
2x(4x2-9)                                    
b)
(4x2+3)(2x-3)
c)
2x(2x+3)(2x-3)
d)
PRIME
2.
Factor:
4b5+4b3+16b2
a)
4b3(b4+b2+4b)
b)
4b3(b4+4b+5)
c)
4(b5+b3+4b2)
d)
4b2(b3+b+4)
3.
Factor:
k2 -2k - 24
a)
(k+4)(k-6)
b)
(k+4)(k+6)
c)
(k+6)(k-1)
d)
(k-4)(k+6)
4.
Factor:
 3x² + 5x - 12
a)
(3x + 4)(x-3)
b)
(3x - 4)(x + 3)
c)
(3x + 3)(x -4)
d)
(3x - 3)(x + 4)
5.
Factor:
3x3-x2+6x-2
a)
(x2+2)(3x+1)
b)
 (x2+2)(3x-1)
c)
(3x3+6x)(x2-2)
d)
none of the aboe
6.
Factor:
n2 + 16n + 63
a)
(n-7)(n+4)
b)
(n+7)(n-9)
c)
(n-3)(n-10)
d)
(n+7)(n+9)
7.
Factor:
5x2-28x+32
a)
(3x-10)(x+6)
b)
(x-8)(5x-4)
c)
(5x-8)(x-4)
d)
(5x-8)(x+7)
8.
Factor:
2x3 - 20x2 - 48x
a)
2x(x+2) (x-12)
b)
2x(x2-10x-24)
c)
(2x2+2) (x-12)
d)
PRIME
9.
Factor: 
10x2 + 17
a)
25(10x3+45x)
b)
5(2x + 3)
c)
x(10x+17)
d)
prime
10.
Solve: 
6h2 + 17h + 10 = 0
a)
h= -5,    -12
b)
h= 5,    12
c)
h = -2,    -5/6
d)
h = -2/5,     -6
11.
Solve: 
16a2 - 9 = 0
a)
a = -3/43/4 
b)
a = -4/34/3 
c)
a = -9/169/16 
d)
a = -16/916/9 
12.
Solve:
n² - 2n = 0
a)
n = 2 and 0
b)
n = -2 and 0
c)
n = 2
d)
n = 0
13.
Solve:
x2 - 4x = 21
a)
3, -7
b)
-3, -7
c)
-3, 7
d)
3, 7
14.
Solve:
2x2 - 13x + 20 =0
a)
4,  - 5/2
b)
4,  -5
c)
4,    5/2
d)
-4,    -5/2
15.
The area of the rectangle is 2x2 - x - 15 square units. What is the width of the rectangle if the length is 2x + 5?
a)
x - 5
b)
x + 3
c)
x - 3
d)
2x - 3
16.
Which choice is a factor of x4 - 1 wen it is factored completely?
a)
x2 - 1
b)
x - 1
c)
x
d)
1