Answer
$3+i$
$x^4-7x^3+14x^2+2x-20$
Work Step by Step
Answer may vary.
Step 1. Identify the 4th zero as $x=3+i$
Step 2. Write a possible function as
$f(x)=(x+1)(x-2)(x-3-i)(x-3+i)=(x^2-x-2)(x^2-6x+10)=x^4-7x^3+14x^2+2x-20$
Precalculus (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0-32197-907-9
ISBN 13:
978-0-32197-907-0
Chapter 5 - Exponential and Logarithmic Functions - 5.4 Logarithmic Functions - 5.4 Assess Your Understanding - Page 298: 142
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