Kuta Software - Infinite Algebra 2
Name___________________________________
Factoring Quadratic Expressions
Date________________ Period____
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1) x 2 − 7 x − 18
x2 18
18
Last term Last box
2) p 2 − 5 p − 14
i
center
value
4 look
3rd b
2nd
in
5 put those
of the box
6 100k at each row
7 factor each row
Xt
1
88 combine
3) m 2 − 9m + 8
Mt Lm 8
first term first box
gyp
Factor each completely.
4) x 2 − 16 x + 63
I
7
5) 7 x 2 − 31 x − 20
2
20
6) 7k 2 + 9k
iEFITIEE
Af
7) 7 x 2 − 45 x − 28
My
XX
35 x
Mgmt
8) 2b 2 + 17b + 21
FEET
Fx
9) 5 p 2 − p − 18
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20
mine
10) 28n 4 + 16n 3 − 80n 2
-1-
Worksheet by Kuta Software LLC
11) 3b 3 − 5b 2 + 2b
basis
EH
II
ILasterm
a
p
36202
6bar's
b
yyyyp.phAga
13) 30n b − 875
nb + 30b
2
II
Last box
b
12) 7 x 2 − 32 x − 60
x
2
14) 9r − 5r − 10
64
21
a
15) 9 p 2 r + 73 pr + 70r
min
17) 4 x 3 + 43 x 2 + 30 x
FIFI
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37
the middle value 253
factors in box
4 put
I
0
16) 9 x 2 + 7 x − 56
18) 10m 2 + 89m − 9
90m
Critical thinking questions:
19) For what values of b is the expression
factorable?
x 2 + bx + 12
5
5
Gm
pppMhÉÉz
20) Name four values of b which make the
expression factorable:
x2 − 3x + b
EMA
-2-
invasion
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)
-1-
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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-2-
Worksheet by Kuta Software LLC