Chapter 5 Exponents and Polynomials Section 4 Multiplying

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Chapter 5 Exponents and Polynomials Section 4 Multiplying Polynomials Copyright © 2016, 2012, and

Chapter 5 Exponents and Polynomials Section 4 Multiplying Polynomials Copyright © 2016, 2012, and 2009 Pearson Education, Inc. 1

Concept Multiplying Monomials Multiply the coefficients, then multiply the variable factors by adding exponents.

Concept Multiplying Monomials Multiply the coefficients, then multiply the variable factors by adding exponents. Copyright © 2016, 2012, and 2009 Pearson Education, Inc. 2

Example 1 Multiplying Monomials Multiply: Copyright © 2016, 2012, and 2009 Pearson Education, Inc.

Example 1 Multiplying Monomials Multiply: Copyright © 2016, 2012, and 2009 Pearson Education, Inc. 3

Example 2 Multiplying Monomials Simplify: Copyright © 2016, 2012, and 2009 Pearson Education, Inc.

Example 2 Multiplying Monomials Simplify: Copyright © 2016, 2012, and 2009 Pearson Education, Inc. 4

Concept Multiplying a Monomial by a Polynomial Apply the distributive property. Copyright © 2016,

Concept Multiplying a Monomial by a Polynomial Apply the distributive property. Copyright © 2016, 2012, and 2009 Pearson Education, Inc. 5

Example 3 Multiplying a Monomial by a Polynomial Multiply: Copyright © 2016, 2012, and

Example 3 Multiplying a Monomial by a Polynomial Multiply: Copyright © 2016, 2012, and 2009 Pearson Education, Inc. 6

Concept Multiplying Polynomials Multiply each term in the first polynomial by each term in

Concept Multiplying Polynomials Multiply each term in the first polynomial by each term in the second polynomial. Combine any like terms if possible. Copyright © 2016, 2012, and 2009 Pearson Education, Inc. 7

Example 4 Multiplying Polynomials Multiply: Copyright © 2016, 2012, and 2009 Pearson Education, Inc.

Example 4 Multiplying Polynomials Multiply: Copyright © 2016, 2012, and 2009 Pearson Education, Inc. 8

Concept Special Products Copyright © 2016, 2012, and 2009 Pearson Education, Inc. 9

Concept Special Products Copyright © 2016, 2012, and 2009 Pearson Education, Inc. 9

Example 5 Special Products Multiply: Copyright © 2016, 2012, and 2009 Pearson Education, Inc.

Example 5 Special Products Multiply: Copyright © 2016, 2012, and 2009 Pearson Education, Inc. 10

Concept Special Products Copyright © 2016, 2012, and 2009 Pearson Education, Inc. 11

Concept Special Products Copyright © 2016, 2012, and 2009 Pearson Education, Inc. 11

Example 6 Special Products Multiply: Copyright © 2016, 2012, and 2009 Pearson Education, Inc.

Example 6 Special Products Multiply: Copyright © 2016, 2012, and 2009 Pearson Education, Inc. 12

Concept Special Products Copyright © 2016, 2012, and 2009 Pearson Education, Inc. 13

Concept Special Products Copyright © 2016, 2012, and 2009 Pearson Education, Inc. 13

Example 7 Special Products Multiply: Copyright © 2016, 2012, and 2009 Pearson Education, Inc.

Example 7 Special Products Multiply: Copyright © 2016, 2012, and 2009 Pearson Education, Inc. 14