Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 4 - Section 4.5 - Dividing Polynomials - 4.5 Exercises: 9

Answer

$3+\dfrac{5}{m}+\dfrac{6}{m^2}$

Work Step by Step

Dividing the denominator to each of the terms of the numerator, the given expression, $ \dfrac{15m^3+25m^2+30m}{5m^3} ,$ simplifies to \begin{array}{l}\require{cancel} \dfrac{15m^3}{5m^3}+\dfrac{25m^2}{5m^3}+\dfrac{30m}{5m^3} \\\\= 3+\dfrac{5}{m}+\dfrac{6}{m^2} .\end{array}
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