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