#### Answer

$f(x)=x^3+9x^2+15x-25$

#### Work Step by Step

RECALL:
If $a$ is a zero of a polynomial, then $x−a$ is a factor of the polynomial.
Thus, having $x=-5, -5, 1$ as zeros of the polynomial function means that $x+5,x+5$, and $x-1$ are factors of the polynomial.
Therefore the function is
$f(x)=(x+5)(x+5)(x-1)
\\f(x)=x^3+9x^2+15x-25.$