Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 11 - Rational Expressions and Functions - 11-2 Multiplying and Dividing Rational Expressions - Lesson Check - Page 673: 10

Answer

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Work Step by Step

a) To multiply a rational expression by a polynomial, you first write the polynomial as a fraction over 1. Then, multiply the numerators together and the denominators together as you would with two rational expressions. After that, simplify by factoring and canceling any common factors in the numerator and denominator. b) To divide a rational expression by a polynomial, write the polynomial as a fraction over 1 and change the division to multiplication, thus flipping the second fraction, then we need to multiply the numerators and denominators. After multiplying, simplify by canceling any common factors between the numerator and denominator.
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