zeros in polynomials

Question

Which set of factors corresponds to a third dregee polynomial that has zeros at x=2 and x=3i ?

Answer 1

What you meant was, probably, not "third degree polynomial", but trinomial.

If it is, then

(x - 2)(x -3i) = 0

x² - (2 + 3i)x + 6i

Answer 2

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