Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 5 Polynomials and Polynomial Functions - 5.5 Apply the Remainder and Factor Theorems - Guided Practice for Examples 3 and 4 - Page 364: 3

Answer

$x^2+x-4+\frac{11}{x+3} $

Work Step by Step

Dividing the two polynomials using long division, we find: $$\frac{x^3+4x^2-x-1}{x+3} \\ x^2+\frac{x^2-x-1}{x+3} \\ x^2+x+\frac{-4x-1}{x+3} \\ x^2+x-4+\frac{11}{x+3} $$
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