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Solving Quadratic Equations by Factoring January 6, 2015 Pages 48-49

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Warm-Up – pg. 48(left side) Factor the following expressions: x 2 + 2x – 99 x 2 – 5x 7x 2 + 23x + 6

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Objective solve quadratic equations and inequalities using graphs, tables, and algebraic methods.[8.D]

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Title – pg. 49 (Right Side) Solving Quadratic Equations by Factoring

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Essential Question How do I use what I already know about factoring to find the solutions to a quadratic equation?

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To Solve Quadratic Equations by Factoring: Set the equation equal to 0. Factor the side of the equation not equal to zero. Set each factor equal to 0 and solve each equation to find your values for x. Check by plugging in each answer to the original equation!

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Example 1 x 2 = x + 30

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Example 2 3x 2 – 8 = 10x

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Example 3 x 2 – 2x = 0

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Example 4 8x + 24 = 2x 2

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Example 5 8x 2 – 5x = 2x 2 + 6x – 4

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Common Mistakes https://learnzillion.com/lessons/745-solve-a- quadratic-equation-by-factoring https://learnzillion.com/lessons/745-solve-a- quadratic-equation-by-factoring 0:41 – 2:05

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Think about it… (Reflection) How are your answers related to the simplified fractions you use when factoring?

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