SOLVING QUADRATIC EQUATIONS Factoring Method. Warm Up Factor the following. 1. x 2 – 4x – 45 2. x 2 + 2x – 48 3. 2x 2 -28x + 48.

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Presentation transcript:

SOLVING QUADRATIC EQUATIONS Factoring Method

Warm Up Factor the following. 1. x 2 – 4x – x 2 + 2x – x 2 -28x + 48

Zero – Product Property If A and B are expressions and AB = 0, then A = 0 or B = 0. (If the product of two expressions is zero, then on or both of the expressions equal zero.)

Example #1 Solve the following by factoring x 2 – 2x – 3 = 0

Example #2 Solve the following by factoring 3x 2 – 5x = 2

Quadratic Solutions In Quadratic Functions *x-intercepts *solutions *zeros of the function Are all looking for the same thing– what value of x will give you a y = 0

Example #3 Find the zeros of f(x) = x 2 – 8x

Example #4 Find the zeros of f(x) = 4x x + 49

Try These Solve the following by factoring 1. x 2 + 5x + 6 = x 2 + 6x – 16 = 5x2 Find the zeros of the following functions. 1. f(x) = 3x 2 – 8x – f(x) = x 2 – 7x + 12