Factoring Quadratic Expressions
Kuta Software - Infinite Algebra 2
Factoring Quadratic Expressions
Factor each completely. 1) x2 - 7x - 18
Name___________________________________ Date________________ Period____
2) p2 - 5 p - 14
3) m2 - 9m + 8
4) x2 - 16x + 63
5) 7x2 - 31x - 20
6) 7k2 + 9k
7) 7x2 - 45x - 28
8) 2b2 + 17b + 21
9) 5 p2 - p - 18
10) 28n4 + 16n3 - 80n2
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Worksheet by Kuta Software LLC
11) 3b3 - 5b2 + 2b 13) 30n2b - 87nb + 30b
12) 7x2 - 32x - 60 14) 9r2 - 5r - 10
15) 9 p2r + 73 pr + 70r
16) 9x2 + 7x - 56
17) 4x3 + 43x2 + 30x
18) 10m2 + 89m - 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 - 3x + b
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Worksheet by Kuta Software LLC
Kuta Software - Infinite Algebra 2
Factoring Quadratic Expressions
Factor each completely. 1) x2 - 7x - 18
(x - 9)(x + 2)
Name___________________________________ Date________________ Period____
2) p2 - 5 p - 14
( p + 2)( p - 7)
3) m2 - 9m + 8
(m - 1)(m - 8)
4) x2 - 16x + 63
(x - 9)(x - 7)
5) 7x2 - 31x - 20
(7x + 4)(x - 5)
6) 7k2 + 9k
k(7k + 9)
7) 7x2 - 45x - 28
(7x + 4)(x - 7)
8) 2b2 + 17b + 21
(2b + 3)(b + 7)
9) 5 p2 - p - 18
(5 p + 9)( p - 2)
10) 28n4 + 16n3 - 80n2
4n2(7n - 10)(n + 2)
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Worksheet by Kuta Software LLC
11) 3b3 - 5b2 + 2b
b(3b - 2)(b - 1)
13) 30n2b - 87nb + 30b
3b(2n - 5)(5n - 2)
12) 7x2 - 32x - 60
(7x + 10)(x - 6)
14) 9r2 - 5r - 10 Not factorable
15) 9 p2r + 73 pr + 70r
r( p + 7)(9 p + 10)
16) 9x2 + 7x - 56 Not factorable
17) 4x3 + 43x2 + 30x
x(x + 10)(4x + 3)
18) 10m2 + 89m - 9
(m + 9)(10m - 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 - 3x + b
Many answers. Ex: 0, 2, -4, -10, -18
Create your own worksheets like this one with Infinite Algebra 2. Free trial available at
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Worksheet by Kuta Software LLC
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