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Grade 10 Academic (MPM2D) Unit 3: Algebra & Quadratic Models Product of Binomials & Polynomials Mr. Choi © 2017 E. Choi – MPM2D - All Rights Reserved.

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Presentation on theme: "Grade 10 Academic (MPM2D) Unit 3: Algebra & Quadratic Models Product of Binomials & Polynomials Mr. Choi © 2017 E. Choi – MPM2D - All Rights Reserved."— Presentation transcript:

1 Grade 10 Academic (MPM2D) Unit 3: Algebra & Quadratic Models Product of Binomials & Polynomials
Mr. Choi © 2017 E. Choi – MPM2D - All Rights Reserved

2 Quadratic Expressions
A binomial is a polynomial with two terms, each with a variable term and a constant term, is a quadratic expression of the form The product of two binomials can be illustrated geometrically. Product of Binomials & Polynomials © 2017 E. Choi – MPM2D - All Rights Reserved

3 Distributive Property
You use F.O.I.L. to multiply the terms inside the parenthesis in a specific order: first, outside, inside, last. First - multiply the first term in each set of parenthesis: (x)(x) = x2 Outside - multiply the two terms on the outside: (x)(2) = 2x Inside - multiply both of the inside terms: (7)(x) = 7x Last - multiply the last term in each set of parenthesis: (7)(2) = 14 Now just add everything together to get Product of Binomials & Polynomials © 2017 E. Choi – MPM2D - All Rights Reserved

4 Example 1: F. O. I. L. Expand and simplify.
Product of Binomials & Polynomials © 2017 E. Choi – MPM2D - All Rights Reserved

5 Example 2 Expand and simplify. Product of Binomials & Polynomials
© 2017 E. Choi – MPM2D - All Rights Reserved

6 Example 3 Expand and simplify. Product of Binomials & Polynomials
© 2017 E. Choi – MPM2D - All Rights Reserved

7 Example 4: expanding Polynomials
Expand and simplify. This technique allows you to group the like terms at the same time Product of Binomials & Polynomials © 2017 E. Choi – MPM2D - All Rights Reserved

8 Example 5: expanding Polynomials
Expand and simplify. Product of Binomials & Polynomials © 2017 E. Choi – MPM2D - All Rights Reserved

9 Example 5: expanding Polynomials
Expand and simplify. Product of Binomials & Polynomials © 2017 E. Choi – MPM2D - All Rights Reserved

10 Homework Work sheet: Product of Binomials & Polynomials Text:
Check the website for updates Product of Binomials & Polynomials © 2017 E. Choi – MPM2D - All Rights Reserved

11 End of lesson Product of Binomials & Polynomials
© 2017 E. Choi – MPM2D - All Rights Reserved

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