How do you write a polynomial function with the given zeros. 2, -4, 3i, 1+2i, i, 1+4i

Question

trying to find the polynomial with the given numbers above.  I am not sure were to start

Answer 1

If a is a zero, then x - a is a factor! Learn this relationship.

P(x) = (x - 2)(x + 4)(x - 3i)(x + 3i)(x - (1 + 2i))(x - (1 - 2i)(x - (1 + 4i))(x - (1 - 4i))