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Factoring

Total questions: 15

Worksheet time: 45mins

Name
Class
Date
1.
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)
2.
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
3.
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)
4.
Factor by grouping:
3x3-x2+6x-2
a)
(x2+2)(3x+1)
b)
 (x2+2)(3x-1)
c)
(3x3+6x)(x2-2)
d)
none of the aboe
5.
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)
6.
Factor completely: x2-6x+8
a)
(x-2)(x-4)
b)
(x-1)(x-8)
c)
(x+2)(x+4)
d)
(x+1)(x+8)
7.
Factor:x- 25
a)
( x + 5 ) ( x - 5 ) 
b)
( x - 5 ) ( x - 5 ) 
c)
( x + 5 ) ( x + 5 ) 
d)
Prime
8.
Factor Completely.  
8x3 - 18x
a)
2x(4x2-9)                                    
b)
(4x2+3)(2x-3)
c)
2x(2x+3)(2x-3)
d)
PRIME
9.
x3 - 27
a)
(x - 4)(x2 + 4x + 16)
b)
(x + 3)(x2 - 4x + 16)
c)
(x - 1)(x2 + 1x + 1)
d)
(x - 3)(x2 + 3x + 9)
10.
125x3 - 64
a)
(5x - 4)(25x2 + 20x + 16)
b)
(5x + 2)(25x2 - 10x + 4)
c)
(3x - 1)(9x2 + 3x + 1)
d)
(4x - 3)(16x2 + 12x + 9)
11.
x3 + 64
a)
(x + 3)(x2 - 3x + 9)
b)
(x + 5)(x2 - 5x + 25)
c)
(x + 4)(x2 - 4x + 16)
d)
(x - 4)(x2 + 4x + 16)
12.
Factor:
56a3-8a
a)
8a2(56a3-8a)
b)
8a(7a2-1)
c)
8a(7a3-a)
d)
8a2(35a2-a)
13.

Factor:

2n2-8n3

a)

2n2(n-4n2)

b)

-2n2(4n2-1)

c)

2n3(10-8n2)

d)

3n(1-4n)

14.
Factor:
2n3+16n+12
a)
2n(n3+24n+6)
b)
2(n3+8n+6)
c)
2n(n3+8n+6)
d)
3(n3+8n+6)
15.
Factor
10x2 + 15x-5
a)
25(10x3+45x-15)
b)
5(2x3 + 3x2-x)
c)
x(10x3+15x-5)
d)
5(2x2+3x-1)