Polynomial Functions

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) = 60

Answer 1

P(x) = a(x - 4)(x - 5i)(x + 5i)

60 = a(-1 - 4)(-1 - 5i)(-1 + 5i)

Can you solve for a and answer?