1. 6.4 M ULTIPLYING P OLYNOMIALS Sec 6.4 - 1 Copyright © 2010 Pearson Education, Inc. All rights reserved. Multiplying Monomials We multiply polynomials by using the distributive, commutative, and associative properties along with the rules of exponents. Multiply the numerical factors, then multiply the variable factors.

2. 6.4 M ULTIPLYING P OLYNOMIALS Sec 6.4 - 2 Copyright © 2010 Pearson Education, Inc. All rights reserved. Multiplying a Binomial by a Binomial To multiply two binomials, multiply each term of one binomial by each term of the other binomial and combine like terms.

3. 6.4 M ULTIPLYING P OLYNOMIALS Sec 6.4 - 3 Copyright © 2010 Pearson Education, Inc. All rights reserved. Multiplying a Binomial by a Binomial To multiply two binomials, multiply each term of one binomial by each term of the other binomial and combine like terms.

4. 6.4 M ULTIPLYING P OLYNOMIALS Sec 6.4 - 4 Copyright © 2010 Pearson Education, Inc. All rights reserved. Multiplying Polynomials Vertically Find the product.

5. 6.4 M ULTIPLYING P OLYNOMIALS Sec 6.4 - 5 Copyright © 2010 Pearson Education, Inc. All rights reserved. Using the FOIL Method We can use a shortcut method, called the FOIL method, to multiply binomials. FOIL is an acronym for F irst terms, O uter terms, I nner terms, and L ast terms. To use the FOIL method to multiply 2 a – 4 by 3 a + 5, we

6. 6.4 M ULTIPLYING P OLYNOMIALS Sec 6.4 - 6 Copyright © 2010 Pearson Education, Inc. All rights reserved. Using the FOIL Method Inner terms Outer terms First termsLast terms

7. 6.4 M ULTIPLYING P OLYNOMIALS Sec 6.4 - 7 Copyright © 2010 Pearson Education, Inc. All rights reserved. Product of the Sum and Difference of Two Terms

8. 6.4 M ULTIPLYING P OLYNOMIALS Sec 6.4 - 8 Copyright © 2010 Pearson Education, Inc. All rights reserved. Finding the Square of a Binomial

9. 6.4 M ULTIPLYING P OLYNOMIALS Sec 6.4 - 9 Copyright © 2010 Pearson Education, Inc. All rights reserved. Finding the Square of a Binomial

10. 6.4 M ULTIPLYING P OLYNOMIALS Sec 6.4 - 10 Copyright © 2010 Pearson Education, Inc. All rights reserved. Multiplying More Complicated Polynomials