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Math Pacing Multiplying a Polynomial by a Monomial

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8-6 Multiplying a Polynomial by a Monomial To find the area of this group of tiles, you could multiply the length times the width: We already know by counting the tiles that the area of the rectangle is:

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Multiplying a Polynomial by a Monomial 8-6 Multiplying a Polynomial by a Monomial The Distributive Property can be used to multiply a polynomial by a monomial.

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Example 6-1a Find Method 1 Horizontal Distributive PropertyMultiply. Multiply a Polynomial by a Monomial

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Example 6-1b Method 2 Vertical Distributive Property Multiply. Find Answer: Multiply a Polynomial by a Monomial

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Example 6-1c Find Answer: Multiply a Polynomial by a Monomial

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Multiplying a Polynomial by a Monomial 8-6 Multiplying a Polynomial by a Monomial When expressions contain like terms, simplify by combining the like terms.

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Example 6-2a Simplify Distributive Property Product of Powers Commutative and Associative Properties Answer: Combine like terms. Simplify Expressions

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Example 6-2b Simplify Answer: Simplify Expressions

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1. Simplify –2 (9a – b). ANSWER –18a + 2b 2. Simplify r2s rs3. ANSWER

1. Simplify –2 (9a – b). ANSWER –18a + 2b 2. Simplify r2s rs3. ANSWER

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