1. Grade 10 Academic (MPM2D) Unit 3: Algebra & Quadratic Models Solving Quadratic Equations by Factoring
Mr. Choi
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2. 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.
Solving Quadratic Equations by Factoring
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3. 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 – MPM2D - All Rights Reserved

4. Solving Equations by Factoring
Example 1: Solving Equations – Given Factored form
Solving Quadratic Equations by Factoring
© 2017 E. Choi – MPM2D - All Rights Reserved

5. Solving Equations by Factoring
Example 2: Solving Equations by Factoring
Solving Quadratic Equations by Factoring
© 2017 E. Choi – MPM2D - All Rights Reserved

6. Solving Equations by Factoring
Example 2: Solving Equations by Factoring
Solving Quadratic Equations by Factoring
© 2017 E. Choi – MPM2D - All Rights Reserved

7. Solving Equations by Factoring
Example 2: Solving Equations by Factoring
Method 2
Multiply both sides by common denominator to get rid of fractions.
Solving Quadratic Equations by Factoring
© 2017 E. Choi – MPM2D - All Rights Reserved

8. Solving Equations by Factoring
Example 2: Solving Equations by Factoring
Solving Quadratic Equations by Factoring
© 2017 E. Choi – MPM2D - All Rights Reserved

9. Homework Work sheet: Solving Equations by Factoring Text:
P. 281 #1-5, 7
P. 308 #8,
P. 315 #1-3
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Solving Quadratic Equations by Factoring
© 2017 E. Choi – MPM2D - All Rights Reserved

10. End of lesson Solving Quadratic Equations by Factoring
© 2017 E. Choi – MPM2D - All Rights Reserved