Answer
$$7x+11+\frac{-6}{x^2+1}$$
Work Step by Step
Dividing the two polynomials using long division, we find:
$$\frac{7x^3+11x^2+7x+5}{x^2+1} \\ 7x+\frac{11x^2+5}{x^2+1} \\ 7x+11+\frac{-6}{x^2+1}$$
Algebra 2 (1st Edition)
by Larson, Ron; Boswell, Laurie; Kanold, Timothy D.; Stiff, Lee
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 - 5.5 Exercises - Skill Practice - Page 366: 8
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