May 19, 2015
Quick! Multiply these!
1) (n-4)(n+4)
2) (2n + 1)2
10.4 Factoring and Solving "Special" Products
Objectives: 1) Use special product patterns to factor quadratic polynomials.
2) Solve quadratic equations by factoring.
Remember our special product patterns? We can use these to factor "special"
polynomials.
Example 1: Factor. (DIFFERENCE OF SQUARES)
a) x2 - 16
=
Write as a2 - b2
=
factor using pattern
b) 121x2 - 144
Example 4: Solve!
a) x2 - 16 = 0
b) 121x2 - 144 = 0
May 19, 2015
Example 3: Factor. (PERFECT SQUARE TRINOMIALS)
a) x2 + 40x + 400 =
=
Write as a2 + 2ab + b2.
Factor using pattern.
b) 9y2 - 12y + 4
c)
9
4 2
x - 3 x+
100
16
10
Example 4: Solve!
a) x2 + 40x + 400 = 0
b) 9y2 - 12y + 4 = 0
c)
4 2
9
x - 3 x+ =0
100
16
10