How do I start to factor this quadratic which has complex zeros: P(x) = x^(2) - 2x + 2

Question

How do I start to factor this quadratic which has complex zeros:

P(x) =
`x^(2) - 2x + 2`

Answer 1

x^2 -2x +2 = 0
x^2 -2x +1 +1 = 0
(x - 1)^2=-1
x - 1 = sqrt -1 and -x + 1 = sqrt -1
x = (sqrt -1) + 1 and 1 - sqrt -1
sqrt means square root