Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 3 - Polynomial and Rational Functions - 3.2 Synthetic Division - 3.2 Exercises - Page 326: 59

Answer

No, $f(2+i)=13+7i$

Work Step by Step

Step 1. Use the given coefficients to set up a division as shown in the figure. Step 2. Perform a synthetic division. Step 3. As the remainder is not zero, the given number k is not a zero of the polynomial function. Step 4. Based on the Remainder theorem, we have $f(2+i)=13+7i$
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