Answer
$x^3-14x^2+65x-102$
Work Step by Step
Step 1. Given zeros $x=4+i,6$, we can identify another zero $x=4-i$
Step 2. We can write the function as $f(x)=(x-6)(x-4+i)(x-4-i)=(x-6)(x^2-8x+17)=x^3-14x^2+65x-102$
Precalculus (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0-32197-907-9
ISBN 13:
978-0-32197-907-0
Chapter 4 - Polynomial and Rational Functions - Chapter Review - Review Exercises - Page 244: 43
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