Kuta Software - Infinite Algebra 2
Name___________________________________
Factoring Quadratic Expressions
Date________________ Period____
Factor each completely.
1) x 2 − 7 x − 18
2) p 2 − 5 p − 14
3) m 2 − 9m + 8
4) x 2 − 16 x + 63
5) 7 x 2 − 31 x − 20
6) 7k 2 + 9k
7) 7 x 2 − 45 x − 28
8) 2b 2 + 17b + 21
9) 5 p 2 − p − 18
10) 28n 4 + 16n 3 − 80n 2
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Worksheet by Kuta Software LLC
11) 3b 3 − 5b 2 + 2b
12) 7 x 2 − 32 x − 60
13) 30n 2 b − 87nb + 30b
14) 9r 2 − 5r − 10
15) 9 p 2 r + 73 pr + 70r
16) 9 x 2 + 7 x − 56
17) 4 x 3 + 43 x 2 + 30 x
18) 10m 2 + 89m − 9
Critical thinking questions:
19) For what values of b is the expression
factorable?
x 2 + bx + 12
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20) Name four values of b which make the
expression factorable:
x2 − 3x + b
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Worksheet by Kuta Software LLC
Kuta Software - Infinite Algebra 2
Name___________________________________
Factoring Quadratic Expressions
Date________________ Period____
Factor each completely.
1) x 2 − 7 x − 18
2) p 2 − 5 p − 14
( x − 9)( x + 2)
3) m 2 − 9m + 8
( p + 2)( p − 7)
4) x 2 − 16 x + 63
(m − 1)(m − 8)
5) 7 x 2 − 31 x − 20
( x − 9)( x − 7)
6) 7k 2 + 9k
(7 x + 4)( x − 5)
7) 7 x 2 − 45 x − 28
k(7k + 9)
8) 2b 2 + 17b + 21
(7 x + 4)( x − 7)
9) 5 p 2 − p − 18
(2b + 3)(b + 7)
10) 28n 4 + 16n 3 − 80n 2
(5 p + 9)( p − 2)
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4n 2 (7n − 10)(n + 2)
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Worksheet by Kuta Software LLC
11) 3b 3 − 5b 2 + 2b
12) 7 x 2 − 32 x − 60
b(3b − 2)(b − 1)
13) 30n 2 b − 87nb + 30b
(7 x + 10)( x − 6)
14) 9r 2 − 5r − 10
3b(2n − 5)(5n − 2)
15) 9 p 2 r + 73 pr + 70r
Not factorable
16) 9 x 2 + 7 x − 56
r( p + 7)(9 p + 10)
17) 4 x 3 + 43 x 2 + 30 x
Not factorable
18) 10m 2 + 89m − 9
x( x + 10)(4 x + 3)
(m + 9)(10m − 1)
Critical thinking questions:
19) For what values of b is the expression
factorable?
x 2 + bx + 12
20) Name four values of b which make the
expression factorable:
x2 − 3x + b
13, 8, 7, −13, −8, −7
Many answers. Ex: 0, 2, −4, −10, −18
Create your own worksheets like this one with Infinite Algebra 2. Free trial available at KutaSoftware.com
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Worksheet by Kuta Software LLC