On Jan 3, 10:59 am, Michael Beeson <profbee...@gmail.com> wrote: > I am just learning Sage. I tried to define a polynomial and then > find the polynomial remainder upon division by the > cyclotomic_polynomial(18), which is 1-x^3+x^6. This is easily > accomplished in Mathematica using the PolynomialRemainder function. > But I could not find the analog of that function in the Sage > documentation.
> What is the right way to do this in Sage? I think this is what you are trying to do: sage: P.<x> = PolynomialRing(QQ) sage: f = x^10+2*x^8+3*x+1 sage: f in P True sage: g = cyclotomic_polynomial(18); g x^6 - x^3 + 1 sage: f.quo_rem(g) (x^4 + 2*x^2 + x, 2*x^5 - 2*x^2 + 2*x + 1) The first term is the quotient and the second is the remainder. See sage: f.quo_rem? for the description of the method. Daniel Bump -- To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to sage-support+unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-support URL: http://www.sagemath.org
