Thanks Dave. I'll take a look at the special cases. It is interesting how the quotient cases distill down to (x + k)^2/x. The essential result of a quotient of quadratics. Just as the single quadratic distills to (x + k)^2.
On Aug 24, 2012, at 12:21 PM, "Dave L. Renfro" <firstname.lastname@example.org> wrote:
> Robert Hansen wrote (in part): > > http://mathforum.org/kb/message.jspa?messageID=7873470 > >> 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. > > Dave L. Renfro >