Irreducible polynomials / sum of products of linear factors
Subject: Irreducible polynomials / sum of products of linear factors
From: andre maute
Date: Sun, 19 Jul 2009 23:37:58 +0200
Could Maxima do the following automatically?
Suppose one has
h1 : (n+r+1)*a*d + (n+r+1)^2*d - n*b*c
+ (r+1)*a*c - (n^2-(r+1)^2)*c - n^2*b
+ n*(n+2*r+2)*a + (2*r+2)*n*(n+r+1);
h2 : (a+n+r+1)*(n+r+1)*(c+d+2*n) - (c+n)*n*(a+b+2*n+2*r+2);
These two polynomials are equal!
Is there an algorithm to find one (all) possibility(ies),
rewriting a given polynomial as sum of k products of linear factors?
With k a fixed positive integer. For the example k=2 was used.
Andre
P.S. h doesn't factor