1. 5-4 Factoring Quadratic Expressions Big Idea: -Factor polynomials representing the difference of squares, perfect square trinomials, and the sum and difference of two cubes.

2. Factoring Factoring is rewriting an expression as the product of its factors. ◦ Ex: x² + 7x +12 = (x + 3)(x + 4) The first step in factoring, is to pull out the greatest common factor (GCF). ◦ Ex: 4x² - 16 = 4(x² - 4)

3. Ex 1: Find the GCF of each expression. Then factor the expression. A) 10x² +10B) 81x² -36 C) x² -2xD) 5x² + 25x

4. Factoring Polynomials y = ax² + bx + c 1. Factor out GCF if one exists. 2. Factor by “guess and check”, “magic X” or “magic “. ◦ Ex: x² - 17x + 72  ( )( ) ◦ Ex: x² -11x + 24  ( )( )

5. Ex 2: Factor each expression. A) x² -6x + 8B) x² + 8x + 7 C) x² - 14x + 33D) x² + 3x - 28

6. E) x² +4x – 5F) 6x² -31x + 35 G) 2x² + 11x + 12

7. H) 4x² + 4x + 1I) x² -6x + 9 J) x² - 25K) 16x² -36