firstly, is this the appropriate place to post questions related to complex numbers? I couldn't seem to find a better place.. so move this if its in the wrong area.
EDIT: i just realized this would probably be better in the Advanced algebra section...
ok, my question is this:
Given that z = 2 + 3i is a solution to the equation z^3 - 6z^2 + 21z -26 = 0
a) write down another complex solution of the equation.
I wrote 2 - 3i (the conjugate). is that correct?
b) Hence find a quadratic factor of the left hand side of the equation
c) Find the third solution.
I'm not sure how to do the rest of those...