Re: Polynomial problem



Dear Toni,

your question deals with P(x,y) polynomials ,
you look for invariance when x ->1-y ,y ->1-x ;
starting one variable p(x)=p(1-x) we obtain:c*x*(x-1)as
solution ,with two variables crossing x and y gives:
simple 'elements' p1(x,y)=(y^2+x^2- y -x) and
p2(x,y)=x*y*(1-x)*(1-y) ,
the fonction f(x) might be built from p1 , p2

EXAMPLE:
f(x)= y^2+x^2- y -x)^2-3*(y^2+x^2- y -x)+4*x*y*(1-x)*(1-y)
ordering powers...

Alain.
.



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