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

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

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.

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

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

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

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

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

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.

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

END OF LESSON Solving Quadratic Equations by Factoring © 2017 E. Choi – MPM 2 D - All Rights Reserved