> I couldn't leave this alone without taking a shot > at the general quadratic quotient. > > (ax^2 + bx + c) / (dx^2 + ex + f)
I haven't looked over this carefully yet, but I did look over the previous version you did for "Mike's function", which I thought was really neat. Incidentally, the general case might need to be separated into subcases, according as to whether certain expressions that show up in a denominator are zero. For the expression above, we would assume of course that neither a nor d is zero, but bd - ac might be zero. However, these kinds of "finishing touches" shouldn't be very difficult to incoporate into what you've already done.