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: 2

Answer

$$x^2-3x+10-\frac{30}{x+2}$$

Work Step by Step

Dividing the two polynomials using long division, we find: $$\frac{x^3-x^2+4x-10}{x+2} \\ x^2+\frac{-3x^2+4x-10}{x+2} \\ x^2-3x+\frac{10x-10}{x+2} \\ x^2-3x+10+\frac{-30}{x+2} \\ x^2-3x+10-\frac{30}{x+2}$$
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