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Re: Q: Factor with Polynominals?

• To: mathgroup at smc.vnet.net
• Subject: [mg26792] Re: Q: Factor with Polynominals?
• From: Robert <robert.schuerhuber at gmx.at>
• Date: Wed, 24 Jan 2001 04:18:35 -0500 (EST)
• Organization: Vienna University of Technology
• References: <943d4e$chm@smc.vnet.net> <9461cq$gaa@smc.vnet.net> <948rc8$kku@smc.vnet.net> <94gqbh$qsj@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

well, first thanks for helping!

but this method also only seems to work in some cases (or it doesnt simplify
as much as possible).:

e.g.:

poly=Expand[(x^2+y^2)^4+(x y^2+x^3)+y];

your method yields:

y + r (x (1+x)^5+3 x^4 y^2+3 x^2 y^4+y^6)

instead of:

y + r (r^3+x).

so, r is factored out, but the rest gets more complicated. applying the same
procedure to the rest again doesn't help.

i don't know much about how computer algebra systems work internally, but in
my opinion this should be a standard task for such a system. it is very
tedious to solve manuelly, but can in principle be done in a finite number of
steps, and so a powerful program like mathematica should be able to solve this
problem. is there really no more or less easy way to handle this problem with
mathematica?

thanks, robert