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: 50

Answer

$P(-2)=-4$

Work Step by Step

Substituting $x$ with $ -2 $ in $ P(x)=4x^3+5x^2-6x-4 $, then \begin{array}{l} P(-2)=4(-2)^3+5(-2)^2-6(-2)-4 \\\\ P(-2)=4(-8)+5(4)-6(-2)-4 \\\\ P(-2)=-32+20+12-4 \\\\ P(-2)=-4 .\end{array}
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