Answer
$f(x) =x^4-6x^3+9x^2-6x+8$
Work Step by Step
Given zeros at $x=2,4,-i$, identify an additional zero at $x=i$ and we can write a possible form of the function as $f(x)=(x-2)(x-4)(x+i)(x-i)=x^4-6x^3+9x^2-6x+8$
Precalculus (6th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
013421742X
ISBN 13:
978-0-13421-742-0
Chapter 3 - Polynomial and Rational Functions - Chapter 3 Test Prep - Review Exercises - Page 399: 35
Update this answer!
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.
