CP - 8.8-8.9 Difference of Squares and Perfect Squares.notebook

CP ­ 8.8­8.9 Difference of Squares and Perfect Squares.notebook
April 10, 2014
"Do Now"
Factor each polynomial.
Using the GCF:
By grouping:
Trinomial:
leading coefficient is 1
Trinomial:
leading coefficient is NOT 1
CP ­ 8.8­8.9 Difference of Squares and Perfect Squares.notebook
HW 8.7: pg. 513 (#10­16, 23­25)
April 10, 2014
CP ­ 8.8­8.9 Difference of Squares and Perfect Squares.notebook
April 10, 2014
CP ­ 8.8­8.9 Difference of Squares and Perfect Squares.notebook
Quizzie Poo
April 10, 2014
CP ­ 8.8­8.9 Difference of Squares and Perfect Squares.notebook
April 10, 2014
CP ­ 8.8­8.9 Difference of Squares and Perfect Squares.notebook
April 10, 2014
Unit 10: Polynomials and Factoring
8.8 Difference of Squares
Difference
Difference of Squares
a2 ­ b2
Squared terms
How to factor
a2 ­ b2 = (a + b)(a ­ b)
Note the opposite signs
Example 1
x2 ­ 25 = (x+5)(x­5)
CP ­ 8.8­8.9 Difference of Squares and Perfect Squares.notebook
April 10, 2014
CP ­ 8.8­8.9 Difference of Squares and Perfect Squares.notebook
April 10, 2014
CP ­ 8.8­8.9 Difference of Squares and Perfect Squares.notebook
April 10, 2014
Unit 10: Polynomials and Factoring
8.9 Factoring Perfect Squares
Opening Example
Factor x2 + 8x + 16
x2 + 2(4x) + 42
(x + 4)2
Main Idea
How to factor a perfect square trinomial
a2 + 2ab + b2 (a + b)2
a2 ­ 2ab + b2 (a ­ b)2
CP ­ 8.8­8.9 Difference of Squares and Perfect Squares.notebook
Example 2
Factor x2 - 6x + 9
x2 - 2(3x) + 32
(x - 3)2
April 10, 2014
CP ­ 8.8­8.9 Difference of Squares and Perfect Squares.notebook
April 10, 2014