Answer
$f(x) =x^4-7x^3+15x^2-25x$
Work Step by Step
Given zeros at $x=0,5,1+2i$, identify an additional zero at $x=1-2i$ and we can write a possible form of the function as $f(x)=(x)(x-5)(x-1-2i)(x-1+2i)=x^4-7x^3+15x^2-25x$
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: 36
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