Find an nth$-$degree polynomial function with real coefficients satisfying the given conditions. If you are using a graphing utility, use it to graph the function and verify the real zeros and the given function value.

$n=3$;

$2$ and $5$i are zeros;

$f(-1)=-156$

$f(x)=$

$($Type an expression using $x$ as the variable. Simplify your answer.$)$