GRADE 10 ACADEMIC MPM 2 D UNIT 3
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GRADE 10 ACADEMIC (MPM 2 D) UNIT 3: ALGEBRA & QUADRATIC MODELS SOLVING QUADRATIC EQUATIONS BY FACTORING Mr. Choi © 2017 E. Choi – MPM 2 D - All Rights Reserved
QUADRATIC EQUATIONS The general quadratic equation is of the form. In order to solve a quadratic equation you must express the given equation in that form. The roots of a quadratic equation relate to the x-intercepts of the corresponding quadratic function. Expressions VS Equations VS Relations Linear Quadratic Expressions Equations Relations Solving Quadratic Equations by Factoring © 2017 E. Choi – MPM 2 D - All Rights Reserved
SOLVING QUADRATIC EQUATIONS Methods There are 3 methods used to solve a quadratic equation. • By factoring • By completing the square • By Quadratic formula You are going to learn how to solve a quadratic equation by factoring in this section although you must be familiar with all of them in a long run. Solving Quadratic Equations by Factoring © 2017 E. Choi – MPM 2 D - All Rights Reserved
SOLVING EQUATIONS BY FACTORING Example 1: Solving Equations – Given Factored form Solving Quadratic Equations by Factoring © 2017 E. Choi – MPM 2 D - All Rights Reserved
SOLVING EQUATIONS BY FACTORING Example 2: Solving Equations by Factoring Solving Quadratic Equations by Factoring © 2017 E. Choi – MPM 2 D - All Rights Reserved
SOLVING EQUATIONS BY FACTORING Example 2: Solving Equations by Factoring Solving Quadratic Equations by Factoring © 2017 E. Choi – MPM 2 D - All Rights Reserved
SOLVING EQUATIONS BY FACTORING Example 2: Solving Equations by Factoring Method 2 Nonfactoring way Multiply both sides by common denominator to get rid of fractions. Solving Quadratic Equations by Factoring © 2017 E. Choi – MPM 2 D - All Rights Reserved
SOLVING EQUATIONS BY FACTORING Example 2: Solving Equations by Factoring Solving Quadratic Equations by Factoring © 2017 E. Choi – MPM 2 D - All Rights Reserved
HOMEWORK Work sheet: Solving Equations by Factoring Text: P. 281 #1 -5, 7 P. 308 #8, P. 315 #1 -3 Check the website for updates Solving Quadratic Equations by Factoring © 2017 E. Choi – MPM 2 D - All Rights Reserved
END OF LESSON Solving Quadratic Equations by Factoring © 2017 E. Choi – MPM 2 D - All Rights Reserved