Find the polynomial p(x)

Question

P(x) is a 3rd degree polynomial with zeros 3 and 2i

Answer 1

Since 2i is a root -2i is also a root.

P(x) = a(x - 3)(x - 2i)(x + 2i)

P(x) = a(x - 3)(x^2 + 4)

P(x) = a(x^3 - 3x^2 + 4x - 12)