1. x^2-x+1 Is this factorable? My initial thinking is NO. However, I can complete the square and it becomes (x-1/2)^2-3/4, but this doesn't seem to help me. Would this be considered factorable? 2. Turn 1/x^2-x+1 into partial fractions Clearly, after I answer #1 correctly, #2 will be more clear. But under my initial assumption that #1 is NOT reducible, then how would I turn 1/x^2-x+1 into a partial fraction? I am getting 1 = Ax+b where b = 0 and A = 1/x but that doesn't seem at all correct. Thanks for any guidance / help.