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 1 and 2 - Page 363: 1

Answer

$$2x^2-3x+8+\frac{-18x+7}{x^2+2x-1}$$

Work Step by Step

Dividing the two polynomials using long division, we find: $$2x^2+\frac{-3x^3+2x^2+x-1}{x^2+2x-1} \\ 2x^2-3x+\frac{8x^2-2x-1}{x^2+2x-1} \\ 2x^2-3x+8+\frac{-18x+7}{x^2+2x-1}$$
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