Question

How do you write the polynomial function given the following zeros: -3, -2i, 2i?

Answer 1

`f(x) = x^3+3x^2+4x+12`

Explanation:

`f(x) = (x+3)(x+2i)(x-2i) = (x+3)(x^2+4)`

`= x^3+3x^2+4x+12`

Any polynomial in `x` with these roots will be a multiple (scalar of polynomial) of this `f(x)`.