solving quadratic equations by factoring january 6, 2015 pages 48-49
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Solving Quadratic Equations by Factoring
January 6, 2015Pages 48-49
Warm-Up – pg. 48(left side)
• Factor the following expressions:• x2 + 2x – 99• x2 – 5x•7x2 + 23x + 6
Objective
solve quadratic equations and inequalities using graphs, tables, and algebraic methods.[8.D]
Title – pg. 49 (Right Side)
Solving Quadratic Equations by Factoring
Essential Question
• How do I use what I already know about factoring to find the solutions to a quadratic equation?
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!
Example 1
• x2 = x + 30
Example 2
• 3x2 – 8 = 10x
Example 3
• x2 – 2x = 0
Example 4
• 8x + 24 = 2x2
Example 5
• 8x2 – 5x = 2x2 + 6x – 4
Common Mistakes
• https://learnzillion.com/lessons/745-solve-a-quadratic-equation-by-factoring
• 0:41 – 2:05
Think about it… (Reflection)
• How are your answers related to the simplified fractions you use when factoring?
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