Find Zeroes of f(x) = x^2 - kx + 2, given zero 1 + i

[kvaughn_75681]

Given f(x) = x^2 - kx +2 and one zero is at x= 1 + i, do the following:

a) Find k
b) Find the other zero of f(x)

I know that the other zero is x=1-i but don't know where to start to solve for k.

Thank you for any help in the right direction.

 

[pka]

Re: Finding Zero's

Given f(x) = x^2 - kx +2 and one zero is at x= 1 + i, do the following:
a) Find k
b) Find the other zero of f(x).

\(\displaystyle \L
f(x) = \left[ {x - (1 + i)} \right]\left[ {x - (1 - i)} \right]\)