Answer
$f(x)=(x+4)(x+1)(x-2)(x-3)=x^4-15x^2+10x+24.$
Work Step by Step
We are given that the degree is 4, and the zeros are -4, -1, 2 and 3, hence a good function is $f(x)=(x+4)(x+1)(x-2)(x-3)=x^4-15x^2+10x+24.$
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