You can factor it in any field that contains a square root of two. For example, we can construct a suitable number field over QQ:
sage: z = QQ['z'].0 sage: K = NumberField(z^2 - 2,'sqrt2'); K Number Field in sqrt2 with defining polynomial z^2 - 2 In this number field, you can (somewhat tautologically) factor your polynomial: sage: R.<x> = K[] sage: (x^2-2).factor() (x - sqrt2) * (x + sqrt2) -- 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
