Answer
$f(x) =x^4-5x^3+3x^2+15x-18$
Work Step by Step
Given zeros at $x=\pm\sqrt 3,2,3$, we can write a possible form of the function as
$f(x)=(x-\sqrt 3)(x+\sqrt 3)(x-2)(x-3)=x^4-5x^3+3x^2+15x-18$
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: 33
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