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Published byJohn Wilfred McBride Modified over 4 years ago

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GOAL: MULTIPLY TWO POLYNOMIALS TOGETHER USING THE DISTRIBUTIVE PROPERTY ELIGIBLE CONTENT: A1.1.1.5.1 8-2 Multiplying Polynomials

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Vocabulary Distributive Property – multiplying the term outside the parentheses by every term inside the parentheses. When you multiply variables together: You ADD the exponents!

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Monomial times Polynomial

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Examples 1. 2.

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A.6x 2 + 9x + 15 B.6x 3 + 9x 2 + 15x C.5x 3 + 6x 2 + 8x D.6x 2 + 3x + 5 Find 3x(2x 2 + 3x + 5).

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Binomial times Polynomial Distribute each term of the binomial.

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Vocabulary Box Method – a method used to multiply polynomials.

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The Box Method

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Examples 1. 2.

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A.12z 3 + 9z 2 + 15z B.8z 2 + 6z + 10 C.12z 3 + z 2 + 9z + 10 D.12z 3 + 17z 2 + 21z + 10 A. Find (3z + 2)(4z 2 + 3z + 5).

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Practice Worksheet – “10.2 Multiplying Polynomials”

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Simplifying Expressions 1. 2p(-4p 2 + 5p) – 5(2p 2 + 20) -8p 3 – 100 2. 3(5x 2 + 2x – 4) – x(7x 2 + 2x – 3) -7x 3 + 13x 2 + 9x – 12

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A.4y 2 + 9y + 1 B.8y 2 + 5y – 6 C.20y 2 + 9y + 6 D.28y 2 + 31y – 10 Simplify 5(4y 2 + 5y – 2) + 2y(4y + 3).

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Homework Page 475 #18-28 even Page 483 #8,9,25,26

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