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Worksheets

Factoring Practice

Total questions: 16

Worksheet time: 20mins

Name
Class
Date
1.
Factor
n2 + 16n + 63
a)
(n-7)(n+4)
b)
(n+7)(n-9)
c)
(n-3)(n-10)
d)
(n+7)(n+9)
2.
9x- 49y2
a)
( 3x + 7y) (3x + 7y) 
b)
( 3x - 7y) (3x + 7y) 
c)
( 3x - 7y) (3x - 7y) 
d)
Prime
3.
Factor
3v2 - 4v - 7
a)
(3v-7)(v+1)
b)
3(v-7)(v-1)
c)
(3v+1)(v-9)
d)
(3v+1)(v-10)
4.
Factor
3a2 + 4a + 1
a)
(7a-10)(a-8)
b)
Not factorable
c)
(3a+1)(a+1)
d)
(3a-1)(a-1)
5.
Factor
81m2 - 1 
a)
not factorable
b)
(m-9)(m+9)
c)
9m(9m-1)
d)
(9m-1)(9m+1)
6.
Factor:
 4h² - 17h + 4
a)
(2h - 2)²
b)
4(h + 4)(h + 1)
c)
(2h - 2)(2h + 2)
d)
(h - 4)(4h - 1)
7.
Factor
x+ 9x - 36
a)
(x + 12)(x - 3)
b)
(x + 9)(x - 4)
c)
(x - 12)(x + 3)
d)
(x - 9)(x - 4)
8.
Factor:
56a3-8a
a)
8a2(56a3-8a)
b)
8a(7a2-1)
c)
8a(7a3-a)
d)
8a2(35a2-a)
9.
Factor Completely: 
x4-9x2
Hint: Factor GCF first. 
a)
x2(x+3)(x-3)
b)
(x2+3x)(x2-3x)
c)
(x2+9)(x-3)(x+3)
d)
x2(x2-9)
10.
x- 25
a)
( x + 5 ) ( x - 5 ) 
b)
( x - 5 ) ( x - 5 ) 
c)
( x + 5 ) ( x + 5 ) 
d)
Prime
11.
12x + 9
a)
3(4x + 3)
b)
x(12+9)
c)
3(4x - 3)
d)
not factorable
12.
Factor
k2 - 2k - 24
a)
(k+4)(k-6)
b)
(k+4)(k+6)
c)
(k+6)(k-1)
d)
(k-4)(k+6)
13.
Factor:
 2n2-8n3
a)
2n2(n-4n2)
b)
2n2(1-4n)
c)
2n3(10-8n2)
d)
3n(1-4n)
14.

6m2 + 16m

a)

2(3m2 + 8m)

b)

2m(3m + 8)

c)

2m(3m + 8m)

d)

not factorable

15.
x+ 81
a)
Prime
b)
( x - 9 ) ( x + 9 ) 
c)
( x + 9 ) ( x + 9 ) 
d)
( x - 9 ) ( x - 9 ) 
16.

6x2 - 24

a)

6(x2 - 4)

b)

6(x - 2)(x - 2)

c)

6(x - 2)(x + 2)

d)

6(x2 + 4)