Answer
$3+i$.
$f(x)= x^4-7x^3+14x^2+2x-20$.
Work Step by Step
1. Given zeros $x=-1,2,3-i$, we can find the 4th zero $x=3+i$.
2. We can write the polynomial 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: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Chapter 4 - Exponential and Logarithmic Functions - Section 4.4 Logarithmic Functions - 4.4 Assess Your Understanding - Page 324: 140
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