Question

Factor the polynomial function over the complex numbers. f(x)=x4+3x2−4

Answer 1

Insert a number into f (x) so f (x) = 0.

After trial and error I got × = -1 giving one factor of (x +1).

You can use the binomial division to get the other factors (divide your equation by (×+1).

I did this to get x^3-x^2+4x.

Answer 2

The answer you are looking for is (x+1)(x−1)(x+2i)(x−2i)