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
$f(x)=(x+2-\sqrt 5)(x+2+\sqrt 5)(x+2)(x-1)=x^4+5x^3+x^2-9x+2$
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