Factoring Quadratics
Name_______________________ Period________
Rules when factoring quadratics ax2 + bx + c
ac
mn
ax2
c
n
m
b
m+n
Examples
x
+
4
24
x2
+ 10x + 24
6
x
+
6
4
X2
4x
6x
24
( x + 4 )( x + 6 )
10
x
-8
4x2
– 7x – 2
-8
4x
+
1
1
-
2
4x2
-8x
( x - 2 )( 4x + 1 )
x
-2
-7
Factor the following polynomials
1.
-10
X2
x2 – 3x – 10
(
)(
)
-10
-3
2.
12
X2
x2 + 7x + 12
7
(
12
)(
)
3.
15
X2
x2 + 8x + 15
(
)(
)
(
)(
)
15
8
4.
5
5x2
5X2
+ 6x + 1
6
5.
x2 – 5x + 6
1
-
6.
7.
Factor
x2 + 4x – 21
8.
Factor
5x2 + 15x + 10
(
)(
)