Question

Find the roots of the function f(x)= x^2+2x+2

Determine f(x)
a) (x+1-i)(x+1+i)
b)(x+1-i sqrt of 2)(x+1+i sqrt of 2)
c)x-1+i)(x-1-i)
d)x-1+i sqrt of 2) (x-1-i sqrt of 2)

Please Help!

For all of these, use the rule
[f(x) + ai]*[(f(x) - ai} = [f(x)]^2 + a^2
where a is a real constant.
For example, the answer to (a) is
(x+1)^2 + 1 = x^2 + 2x + 2