Exponents, Polynomials, and Polynomial Functions Chapter 6 Exponents, Polynomials, and Polynomial Functions

6.5 Dividing Polynomials

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

Dividing a Polynomial by a Monomial 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. Copyright © 2010 Pearson Education, Inc. All rights reserved.

Dividing a Polynomial by a Monomial 6.5 Dividing Polynomials Dividing a Polynomial by a Monomial y is in the denominator 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. Copyright © 2010 Pearson Education, Inc. All rights reserved.

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

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

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

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

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

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

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

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

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

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

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

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