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Re: Enrichment
Posted:
Aug 24, 2012 1:33 PM
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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.
Bob Hansen
On Aug 24, 2012, at 12:21 PM, "Dave L. Renfro" <renfr1dl@cmich.edu> 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
>
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