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

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

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

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

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

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

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

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

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

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

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