Question

Given 2i is a zero of the function, find the other zeros. F(x)=x^4 - 2x^3 + 5x^2 - 8x + 4

Answer 1

If 2i is a zero then -2i is a zero and (x-2i) and (x+2i) are factors which means that x^2+4 is a factor. Now, you can divide the given polynomial by x^2+4 and find the remaining factor.