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WorksheetsFactoring
Total questions: 15
Worksheet time: 1hrs 18mins
Name
Class
Date
1.
Factor out the GCF:
12x + 6
12x + 6
a)
6(2x + 1)
b)
3(4x + 2)
c)
6x(2x + 1)
d)
2(6x + 3)
2.
Factor out the GCF:
10x³ - 15x
10x³ - 15x
a)
x(10x² - 15)
b)
5x(2x² - 3)
c)
5(2x³ - 3x)
d)
5x²(10x - 3)
3.
Factor 4b5+4b3+16b2
a)
4b3(b4+b2+4b)
b)
4b3(b4+4b+5)
c)
4(b5+b3+4b2)
d)
4b2(b3+b+4)
4.
Factor completely.
k2 -2k - 24
k2 -2k - 24
a)
(k+4)(k-6)
b)
(k+4)(k+6)
c)
(k+6)(k-1)
d)
(k-4)(k+6)
5.
Factor completely:
3x² + 5x - 12
3x² + 5x - 12
a)
(3x + 4)(x-3)
b)
(3x - 4)(x + 3)
c)
(3x + 3)(x -4)
d)
(3x - 3)(x + 4)
6.
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)
7.
Factor:
x2 + 7x - 30
x2 + 7x - 30
a)
(x + 10)(x - 7)
b)
(x - 10)(x + 3)
c)
(x + 10)(x + 3)
d)
(x + 10)(x - 3)
8.
Factor:x2 - 25
a)
( x + 5 ) ( x - 5 )
b)
( x - 5 ) ( x - 5 )
c)
( x + 5 ) ( x + 5 )
d)
Prime
9.
Factor:
x2 - 9
x2 - 9
a)
(x + 3)(x - 3)
b)
(x + 3)2
c)
(x - 3)2
d)
(x+3)(x+3)
10.
Factor Completely.
8x3 - 18x
8x3 - 18x
a)
2x(4x2-9)
b)
(4x2+3)(2x-3)
c)
2x(2x+3)(2x-3)
d)
PRIME
11.
Which is another way of correctly expressing
(x - 3)(x - 3)?
(x - 3)(x - 3)?
a)
(x2 - 32)
b)
(x2 - 3)
c)
(x + 3)(x - 3)
d)
(x - 3)2
12.
x2 - 16
a)
Prime
b)
( x - 4) ( x + 4)
c)
( x - 8) ( x + 8)
d)
( x - 4) ( x - 4)
13.
A rectangle has an area of 2x2 – 19x +45 ft2. What are the dimensions of the rectangle?
a)
(2x - 9)(x - 5)
b)
(2x + 9)(x + 5)
c)
(2x - 5)(x - 9)
d)
(2x - 5)(x + 9)
14.
Penny's garden has an area of 80x2 + 15x. If the length is 5x, what is the width?
a)
12x + 3
b)
16x + 3
c)
16x
d)
12x
15.
Factor
x2 + 9x - 36
x2 + 9x - 36
a)
(x + 12)(x - 3)
b)
(x + 9)(x - 4)
c)
(x - 12)(x + 3)
d)
(x - 9)(x - 4)
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