Answer
$f(x)=(x+2)(x-4)^2=x^3-12x-16.$
Work Step by Step
We are given that the degree is 3, and the zeros are -2 (multiplicity 2) and 4 (multiplicity 2), hence a good function is: $f(x)=(x+2)(x-4)^2=x^3-12x-16.$
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