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: 30

Answer

$\dfrac{15x^3y-5x^2y+10xy^2}{5x^2y}=3x-1+\frac{2y}{x}$

Work Step by Step

Divide the divisor to each term of the dividend to have: $=\dfrac{15x^3y}{5x^2y}-\dfrac{5x^2y}{5x^2y}+\dfrac{10xy^2}{5x^2y}$ $=3x-1+\frac{2y}{x}$
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