(Solved):   Find an nth-degree polynomial function with real coefficients satisfying the given conditi ...

 

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. \[ n=3 \text {; } \] 4 and \( 4 i \) are zeros; \[ f(-1)=-255 \] \[ f(x)= \] (Type an Expression using \( x \) as the variable. Simplify your answer.)