wkst factoring quadratic expressions
DESCRIPTION
Factoring Quadratic ExpressionsTRANSCRIPT
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Kuta Software - Infinite Algebra 2 Name___________________________________
Period____Date________________Factoring Quadratic Expressions
Factor each completely.
1)
x2 − 7
x − 18 2)
p2 − 5
p − 14
3)
m2 − 9
m + 8 4)
x2 − 16
x + 63
5)
7
x2 − 31
x − 20 6)
7
k2 + 9
k
7)
7
x2 − 45
x − 28 8)
2
b2 + 17
b + 21
9)
5
p2 −
p − 18 10)
28
n4 + 16
n3 − 80
n2
-1-
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11)
3
b3 − 5
b2 + 2
b 12)
7
x2 − 32
x − 60
13)
30
n2b − 87
nb + 30
b 14)
9
r2 − 5
r − 10
15)
9
p2r + 73
pr + 70
r 16)
9
x2 + 7
x − 56
17)
4
x3 + 43
x2 + 30
x 18)
10
m2 + 89
m − 9
Critical thinking questions:
19) For what values of
b is the expression
factorable?
x2 +
bx + 12
20) Name four values of
b which make the
expression factorable:
x2 − 3
x +
b
-2-
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Kuta Software - Infinite Algebra 2 Name___________________________________
Period____Date________________Factoring Quadratic Expressions
Factor each completely.
1)
x2 − 7
x − 18
(
x − 9)(
x + 2)
2)
p2 − 5
p − 14
(
p + 2)(
p − 7)
3)
m2 − 9
m + 8
(
m − 1)(
m − 8)
4)
x2 − 16
x + 63
(
x − 9)(
x − 7)
5)
7
x2 − 31
x − 20
(
7
x + 4)(
x − 5)
6)
7
k2 + 9
k
k(
7
k + 9)
7)
7
x2 − 45
x − 28
(
7
x + 4)(
x − 7)
8)
2
b2 + 17
b + 21
(
2
b + 3)(
b + 7)
9)
5
p2 −
p − 18
(
5
p + 9)(
p − 2)
10)
28
n4 + 16
n3 − 80
n2
4
n2(
7
n − 10)(
n + 2)
-1-
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11)
3
b3 − 5
b2 + 2
b
b(
3
b − 2)(
b − 1)
12)
7
x2 − 32
x − 60
(
7
x + 10)(
x − 6)
13)
30
n2b − 87
nb + 30
b
3
b(
2
n − 5)(
5
n − 2)
14)
9
r2 − 5
r − 10
Not factorable
15)
9
p2r + 73
pr + 70
r
r(
p + 7)(
9
p + 10)
16)
9
x2 + 7
x − 56
Not factorable
17)
4
x3 + 43
x2 + 30
x
x(
x + 10)(
4
x + 3)
18)
10
m2 + 89
m − 9
(
m + 9)(
10
m − 1)
Critical thinking questions:
19) For what values of
b is the expression
factorable?
x2 +
bx + 12
13, 8, 7, −13, −8, −7
20) Name four values of
b which make the
expression factorable:
x2 − 3
x +
b
Many answers. Ex: 0, 2, −4, −10, −18
-2-
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