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: 6

Answer

$\dfrac{6x^5y+75^4y-24x^3y^2}{3x^4y}= 2x+25 -\dfrac{8y}{x}$

Work Step by Step

Divide the divisor to each term of the dividend to have: $\\=\dfrac{6x^5y}{3x^4y}+\dfrac{75x^4y}{3x^4y}-\dfrac{24x^3y^2}{3x^4y} \\\\= 2x+25 -\dfrac{8y}{x}$
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