|Bill Allombert on Sat, 02 Apr 2005 00:09:39 +0200|
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|Re: dividing polynomias|
On Fri, Apr 01, 2005 at 11:35:37PM +0200, Csányi Pál wrote: > I red the tutorial, the user's guide, but I still don't know, how to tell > to gp that, that if I want to divide e.g. the following polynomials: > p(x) = x^4 > q(x) = x^2 + 1 > > ? p(x)/q(x) > %1 = x^4/(x^2 + 1) > > then I want the result in form similarly like follow: > > p(x)/q(x)= x^2 - 1 (remainder 1) > > How can I do that in gp? What you want to do is called an 'Euclidean division' or a 'division with remainder'. You can do: ? divrem(x^4,x^2 + 1) %1 = [x^2 - 1, 1]~ or: ? (x^4)\(x^2 + 1) %2 = x^2 - 1 ? (x^4)%(x^2 + 1) %3 = 1 Cheers, Bill.