Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 6 - Section 6.4 - Dividing Polynomials: Long Division and Synthetic Division - Exercise Set - Page 370: 43

Answer

$=\dfrac{-5y-15z-25xz}{x}$

Work Step by Step

Divide the divisor to each term of the dividend to have: $=\dfrac{25xy^2}{-5x^2y}+\dfrac{75xyz}{-5x^2y}+\dfrac{125x^2yz}{-5x^2y}$ $=-\dfrac{5y}{x}-\dfrac{15z}{x}-25z$ $=\dfrac{-5y-15z}{x}-25z$ $=-\dfrac{5y-15z}{x} - \dfrac{25xz}{x}$ $=\dfrac{-5y-15z-25xz}{x}$
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