Answer:
x=-.43585, 3.2174+-1.8564i assuming you meant (x^3-6x^2+11x-6)/(x-2)
x=1, .46234, x=3.3688+-1.514i assuming you meant x^3-6x^2+11x-(6)/(x-2)
Explanation:
I just used wolfram alpha for both of these. You can look up a cubic or quartic equation calculator for these and do it manually, but unless you are in a much higher math class than me, I doubt you will have to do something like this by hand for a while if at all.