nth-degree polynomial function

Question

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;

4 and 5i are zeros;

f(1)=-234

f(x)=?

Answer 1

f(x)=3(x-5)(x²+25)