p(x) = x^3 − x^2 + ax + b is a real polynomial with 1 + i as a zero, find a and b and find all of the real zeros of p(x).
The Attempt at a Solution
1-i is also a zero as it is the conjugate of 1+i
constant terms: b=2d, d=b/2
x terms: -2d+2a, a=2d
This is what I have done so far but I am unsure how to find a and b and the third zero
Any Help would be appreciated