Section 5-5: Factoring Using Special Patterns

Goal: Factor Using Special Patterns

Difference of Two Squares Pattern

Example 1: Factor a Difference of Two Squaresm2 – 25

9y2 - 16

p2 - 625

x2 - 36

Example 1: Factor a Difference of Two Squaresr2 – 100

¼ p2 - 81

9m2 - 64

16x2 - 25

Perfect Square Trinomials

Example 2: Factor a Perfect Square Trinomialm2 + 16m + 64 9p2 + 30p + 25

Example 3: Factor Out a Common Constant5u2 – 40u + 80 4m2 – 24m + 36

Checkpoint: Factor the Expressionx2 + 10x + 25

9p2 – 24p + 16

4x2 + 12x + 9

5x2 – 10x + 5

Checkpoint: Factor the Expression8y2 - 18 12u2 – 36u + 27

Example 4: Solve a Quadratic Equation9p2 + 30p = -25 x2 – 6x = -9

Example 4: Solve a Quadratic Equationa2 - 4 = 12 2y2 = 40y - 200

P. 252 – 253# 20 – 64 EVEN

HOMEWORK: