Find a polynomial function f with real coefficients that satisfies the given conditions. leading coefficient a= - 4, degree n= 3, Zeros include 4 and -6-6i.

Question

Find a polynomial function f with real coefficients that satisfies the given conditions.

leading coefficient a= - 4, degree n= 3, Zeros include 4 and -6-6i.

f(x) =  _____________

Leave your answer in partially factored form. Only multiply out the factors containing imaginary numbers!

Answer 1

f(x) = -4(x - 4)(x - (-6 -6i))(x - (-6 + 6i))