Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Appendix - Synthetic Division - Exercises - Page 646: 23

Answer

$P(3)=0$

Work Step by Step

Using the long division method below, the remainder when $P(x)= 2x^3-4x^2+5x-33 $ is divided by $ (x-3) $ is $ 0 $. Since the remainder is $ 0 $, by the Remainder Theorem, $ P(3)=0 $.
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