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Re: simplify polynomial
- To: mathgroup at smc.vnet.net
- Subject: [mg89196] Re: simplify polynomial
- From: dh <dh at metrohm.ch>
- Date: Thu, 29 May 2008 07:02:46 -0400 (EDT)
- References: <g1j6im$qop$1@smc.vnet.net>
Hi,
do not use funny characters like: λ, I replace it b:x.
It is not very clear to me what you mean by incomplete factorization.
Well, a polynomial (with variable x) can always be factorized, using its
zeros.In your case of a third degree poly: c0 (x-c1)(x-c2)(x-c3). If you
want to split an additional summand, you could eliminate e.g. x1 and add
the summand: c0 x(x-c2)(x-c3)+c4. The ci you can get using SolveAlways:
SolveAlways[yourPoly==c0 x(x-c2)(x-c3)+c4,x]
will give you the ci.
hope this helps, Daniel
vmarian wrote:
> I want to simplify a polynomial by factorizing the most of the terms as possible(that means a product of terms plus a small other
> number of terms). I didn't find how to do such incomplete factorization. Is there a command to do it. Factor works only for complete factorizations.
>
> \!\(Simplify[2 - λ - λ\^2 - 3\ hmb\ \((\(-2\) + λ +
> λ\^2)\) + hmb\^3\ \((5 - 12\ λ + 4\ λ\^2)\) + hmb\^2\ \((6 - 3\ λ -
> 8\ λ\^2 + 2\ λ\^3)\)]\)
>
> Thank you.
>
--
Daniel Huber
Metrohm Ltd.
Oberdorfstr. 68
CH-9100 Herisau
Tel. +41 71 353 8585, Fax +41 71 353 8907
E-Mail:<mailto:dh at metrohm.com>
Internet:<http://www.metrohm.com>
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