Answer
$f(x) =x^4+5x^3+x^2-9x+2$
Work Step by Step
Given zeros at $x=-2\pm\sqrt 5,-2,1$, we can write a possible form of the function as
$f(x)=(x+2-\sqrt 5)(x+2+\sqrt 5)(x+2)(x-1)=x^4+5x^3+x^2-9x+2$
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: 34
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