Algebra and Trigonometry 10th Edition

Published by Cengage Learning

Chapter 3 - 3.3 - Polynomial and Synthetic Division - 3.3 Exercises - Page 270: 42

Answer

$-x^{2} + 3x - 6 + \frac{11}{x + 1}$

Work Step by Step

Since we are dividing by (x + 1) the zero of that x = -1 goes into the top left space. $\hspace{0mm}\underline{-1|}\hspace{10mm}-1\hspace{10mm}2\hspace{10mm}-3\hspace{10mm}5$ $\hspace{35mm}\underline{1\hspace{9mm}-3\hspace{11mm}6}$ $\hspace{19mm}-1\hspace{10mm}3\hspace{9mm}-6\hspace{9mm}\underline{|11}$ Since the bottom right space has a 11, the remainder is 11.

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