5.3.4: Solving Quadratics by Factoring
Warm-up: Factor the following polynomials.
2
2
A.
9
x
12
x
4
B.
x
10
x
56
−
+
+
−
The last few days we spent reviewing factoring. We are going to use our ability to
factor to solve quadratic equations such as
Zero Product Property:
Notes: Steps to Solve a Quadratic Using Factoring
I. Set the quadratic equal to
II. Factor the quadratic completely.
III. Set each factor
IV. What if you want to check your answer(s)?
Practice: Solve each quadratic by factoring.
2
2
1.
6
16
0
2.
x
− x
12
11
0
x
x
−
=
+
+
=
2
2
3.
2
x
22
x
60
0
4.
81
n
16
0
−
+
=
−
=
2
2
x
+ x
9
20
5.
40
a
+ a
4
0
6.
=
−
=
22