write a polynomial function f of least degree that has rational coefficients a leading of 1 and the zeros 2, -3, and -3i

Answer 1

The complex conjugate of each complex zero will also be a zero, so you will have 4 zeros:

2

-3

-3i

3i

With a leading coefficient of 1, the polynomial is

p(x) = (x - 2)(x + 3)(x + 3i)(x - 3i) = (x - 2)(x + 3)(x² + 9)

You can expand this to standard form if you wish.