Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 6 - Section 6.4 - Dividing Polynomials: Long Division and Synthetic Division - Exercise Set - Page 370: 55

Answer

$P\left( \dfrac{1}{2} \right)=\dfrac{95}{32}$

Work Step by Step

Substituting $x$ with $ \dfrac{1}{2} $ in $ P(x)=x^5+x^4-x^3+3 $, then \begin{array}{l} P\left( \dfrac{1}{2} \right)=\left( \dfrac{1}{2} \right)^5+\left( \dfrac{1}{2} \right)^4-\left( \dfrac{1}{2} \right)^3+3 \\\\ P\left( \dfrac{1}{2} \right)=\dfrac{1}{32}+\dfrac{1}{16}-\dfrac{1}{8}+3 \\\\ P\left( \dfrac{1}{2} \right)=\dfrac{95}{32} .\end{array}
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