Need Help With Math Problem

[Kuciwalker]

Originally posted by Lul Thyme
That's not very clear.
You didn't tell me how you got q and r and p.
There are some choices for them which are allowed in the description for your problem that yield non-polynomial solutions for f[x].

Are you saying that we can assume that p,q and r are such that the only solutions would be polynomial?
Or that we are dealing with the general case but are only interested in polynomial solutions.

The former.

The way you stated the problem, it's an unneeded complication.

Touche.

[Lul Thyme]

Originally posted by Kuciwalker
Oh, that's helpful, I didn't realize there was a maximum order for f. I had considered an algorithm going in the other direction (trying progressively higher orders of f) but didn't see that it would necessarily ever stop or reach a contradiction.

xpost

Actually that's what I tried first too, as that usually works.
But the problem is from the form of f(x-1).
The nicer terms are the higher power ones (see my big post) so this suggests starting from that side.