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 - Practice and Problem-Solving Exercises - Page 670: 39

Answer

$5t^3-25t^2+115t-575+\frac{{2881}}{{t+5}}$

Work Step by Step

Re-arranging the order of the terms and leaving space for missing terms, the given is equivalent to $$ (5t^4+0t^3-10t^2+0t+6)÷(t+5) .$$ Using the long division method shown below, then $$\begin{aligned} & (5t^4-10t^2+6)÷(t+5) \\&= 5t^3-25t^2+115t-575+\frac{\color{red}{2881}}{\color{blue}{t+5}} .\end{aligned} $$
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