1. Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 6.5 - 1

2. Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 6.5 - 2 Exponents, Polynomials, and Polynomial Functions Chapter 6

3. Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 6.5 - 3 6.5 Dividing Polynomials

4. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 6.5 - 4 6.5 Dividing Polynomials Objectives 1.Divide a polynomial by a monomial. 2.Divide a polynomial by a polynomial of two or more terms. 3.Divide polynomial functions.

5. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 6.5 - 5 6.5 Dividing Polynomials Dividing a Polynomial by a Monomial We can check this answer by multiplying the quotient by the divisor to obtain the original polynomial.

6. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 6.5 - 6 6.5 Dividing Polynomials Dividing a Polynomial by a Monomial Why is the answer not a polynomial? All variables must have whole number exponents and no variables can be in the denominator or under radicals. y is in the denominator

7. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 6.5 - 7 6.5 Dividing Polynomials Dividing a Polynomial by a Polynomial

8. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 6.5 - 8 6.5 Dividing Polynomials Dividing a Polynomial by a Polynomial

9. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 6.5 - 9 6.5 Dividing Polynomials Dividing a Polynomial by a Polynomial

10. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 6.5 - 10 6.5 Dividing Polynomials Dividing a Polynomial with a Missing Term

11. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 6.5 - 11 6.5 Dividing Polynomials Dividing a Polynomial with a Missing Term

12. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 6.5 - 12 6.5 Dividing Polynomials Dividing a Polynomial with a Missing Term

13. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 6.5 - 13 6.5 Dividing Polynomials Dividing a Polynomial with a Missing Term

14. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 6.5 - 14 6.5 Dividing Polynomials Dividing a Polynomial with a Missing Term

15. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 6.5 - 15 6.5 Dividing Polynomials Dividing a Polynomial with a Missing Term

16. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 6.5 - 16 6.5 Dividing Polynomials Dividing a Polynomial with a Missing Term

17. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 6.5 - 17 6.5 Dividing Polynomials Dividing Polynomial Functions

18. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 6.5 - 18 6.5 Dividing Polynomials Dividing Polynomial Functions Applying the definition of dividing functions: Performing division as shown earlier Results are the same