Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 3 - Review - Exercises - Page 320: 35

Answer

3

Work Step by Step

The Remainder Theorem states that when P(x) is divided by the linear divisor x-c, the remainder is the constant P(c) . So one way to evaluate a polynomial function P at c is to use synthetic division to divide P(x) by x- c and observe the value of the remainder. Use synthetic division as shown in the figure, and we find the remainder to be 3, which means that $P(5)=3$
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