Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 3 - 3.3 - Polynomial and Synthetic Division - 3.3 Exercises - Page 270: 38

Answer

$x^{2} + 9x + 81$

Work Step by Step

Since we are dividing by (x - 9) the zero of that x = 9 goes into the top left space. $\hspace{0mm}\underline{9|}\hspace{5mm}1\hspace{5mm}0\hspace{5mm}0\hspace{5mm}-729$ $\hspace{16mm}\underline{9\hspace{5mm}81\hspace{7mm}729}$ $\hspace{9mm}1\hspace{5mm}9\hspace{4mm}81\hspace{9mm}\underline{|0}$ Since the bottom right space has a 0, the remainder is 0.
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