5.3.2: Factoring Quadratics Review Day 2
Warm-up: Factor the following polynomials.
2
2
2
A.
B.
C.
x
+ x
9
8
5
x
25
x
30
3
x
22
x
24
+
−
−
−
+
Notes: Special Patterns
When we factor quadratics, some quadratics have special patterns to follow.
Difference of Two Squares: To factor the difference of two squares follow the
pattern below.
2
2
a
b
(
a
b
)(
a
b
)
−
=
+
−
Practice: Factor each difference of two squares quadratic below.
2
2
1.
x
16
2.
16
x
81
−
−
2
2
2
3.
x −
y
4.
49
x
121
−
1
25 1
2
2
5.
4
x −
6.
x
−
36
49 9
17