Question

How do you find a polynomial function with zeroes 2, -6, and 2+ 4i?

Answer 1

If you would like the polynomial to have real coefficients, then the simplest one is:

`f(x) = (x-2)(x+6)(x-2-4i)(x-2+4i)`

`=(x^2+4x-12)(x^2-4x+20)`

`=x^4-8x^2+128x-240`