#### Answer

$f(x)=x^4-5x^3+6x^2$

#### Work Step by Step

RECALL:
If $a$ is a zero of a polynomial, then $x−a$ is a factor of the polynomial.
Thus, having $x=0, 0, 2, 3$ as zeros of the polynomial function means that $x,x, x-2$, and $x-3$ are factors of the polynomial.
Therefore the function is
$f(x)=x(x)(x-2)(x-3)
\\f(x)=x^4-5x^3+6x^2.$