1. The problem statement, all variables and given/known data The question was to find the roots of x3 - 3x2 + 4x - 2 = 0 2. Relevant equations The first root is found by the factor theorem, substituting x=1 into the polynomial gives 0 therefore x=1 is one root and (x-1) is a factor. 3. The attempt at a solution In the worked solution, then it says that the rest of the polynomial (i.e. what's left after dividing by (x-1)) is x2 - 2x + 2, "at sight", or alternatively by long division. I know how to do the long division (and I can find the other two roots) but I can't see how to do the division in my head i.e. "at sight".