Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 11 - Rational Expressions and Functions - 11-3 Dividing Polynomials - Lesson Check - Page 669: 3

Answer

$5n^2-4n+1$

Work Step by Step

Given: $(25n^3-11n+4) \div (5n+4)$ Apply long division method. Thus, $\dfrac{25n^3-11n+4}{(5n+4)}=\dfrac{25n^3}{(5n+4)}-\dfrac{11n}{(5n+4)}+\dfrac{4}{(5n+4)}$ $=\dfrac{25n^3}{(5n+4)}-\dfrac{11n}{(5n+4)}+\dfrac{4}{(5n+4)}$ $=5n^2-4n+1$
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