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Re: Removing constant multiples from polynomials

• To: mathgroup at smc.vnet.net
• Subject: [mg73431] Re: [mg73383] Removing constant multiples from polynomials
• From: János <janos.lobb at yale.edu>
• Date: Fri, 16 Feb 2007 01:01:26 -0500 (EST)
• References: <200702150955.EAA04553@smc.vnet.net>

On Feb 15, 2007, at 4:55 AM, Azumanga wrote:

> I am working on an algorithm which manipulates sets of polynomials.
> Often it produces (after an application of FullSimplify) polynomials
> like:
>
> 1276(x-1)(y-2)/397
>
> I'm only interested in the solutions to the polynomial, so to me this
> is "equivalent" to:
>
> (x-1)(y-2)
>
> As a short-term solution I call "GroebnerBasis" on the single
> polynomial, which seems to perform this simplification. However is
> there a simpler method?
>
> Thank you,
>
> Chris
>

Here is a newbie approach:

In[1]:=
poly = 1276*(x - 1)*
     ((y - 2)/397);

In[2]:=
Select[poly, Head[#1] =!=
     Rational & ]
Out[2]=
(-1 + x)*(-2 + y)

With or you can extend it for standalone integers and reals,

J=E1nos


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• References:
  • Removing constant multiples from polynomials
    • From: "Azumanga" <4zumanga@gmail.com>