Write a polynomial that satisfies the given conditions

Question

Degree 3 polynomial with integer coefficients with zeros 2i and 1/2

Answer 1

The polynomial 2x-1 is of degree 1 and has a zero at 1/2.

The polynomial x^2+4 is of degree 2 and has a zero at 2i and another at -2i.

Hence, the desired polynomial will be (2x-1)(x^2+4).