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

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Presentation transcript:

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.

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)

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

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  ( )( )

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

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

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