1. Solving Quadratic Equations by Factoring Lesson 5.2

2. Vocabulary Binomial Trinomial Factoring Monomial Quadratic Equation in One Variable Zero of a Function

3. Example 1: Factoring a Trinomial of the Form x 2 + bx + c A) Factor x 2 – 9x + 14 B)Factor x 2 – 2x – 48 C)Factor x 2 + 3x - 10

4. Example 2: Factoring a Trinomial of the Form ax 2 + bx + c A) Factor 2x 2 + 13x + 6 B) Factor 4x 2 – 4x – 3 C) Factor 2x 2 + 7x + 3

5. Special Factoring Patterns Difference of Two Squares a 2 – b 2 = (a+ b)(a – b) Perfect Square Trinomial a 2 + 2ab + b 2 = (a + b) 2 a 2 – 2ab + b 2 = (a – b) 2

6. Example 3: Factoring with Special Patterns A)9x 2 – 16 B)16y 2 + 40 y + 25 C)64x 2 – 32x + 4 D) 81x 2 – 1 E) 49h 2 + 42h + 9

7. Example 4: Factoring Monomials First A)12x 2 – 3 B) 3u 2 – 9u + 6 C) 7v 2 – 42v D) 2x 2 + 8x + 2

8. Zero Product Property Let A and B be real numbers or algebraic expressions. If AB = 0 then either A = 0 or B = 0.

9. Example 5: Solving Quadratic Equations A)4x 2 + 13x + 11 = -3x – 5 B)x 2 + 15x + 26 = 0

10. Example 5 continued C) 2x 2 + x + 3 = -5x + 19 + x 2