ASKSAGE: Sage Q&A Forum - Latest question feedhttps://ask.sagemath.org/questions/Q&A Forum for SageenCopyright Sage, 2010. Some rights reserved under creative commons license.Mon, 18 Feb 2013 21:56:58 -0600Polynomial as a sum of simply factored expressions?https://ask.sagemath.org/question/9761/polynomial-as-a-sum-of-simply-factored-expressions/The polynomial
p^9 + p^8 + 7*p^6 + 6*p^4 + 3*p^3 + 4*p^2 + 2
can't be factored (over the rationals). However, it can be expressed in simpler form as
(p^3+1)^3 + (p^2+1)^4
Is there any way (other than trial and error) of finding such a sum, for a given (multivariate) polynomial?AlasdairMon, 18 Feb 2013 21:56:58 -0600https://ask.sagemath.org/question/9761/