collect takes as argument a polynomial or a list of
polynomials and optionnaly an algebraic extension like sqrt(n)
(for √n).
collect factorizes the polynomial (or the polynomials of the
list) on the field of it’s coefficient (for example ℚ)
or on the smallest extension containing the optional second argument (e.g.
ℚ[√n]). In complex mode, the field is complexified.
Examples :
^
2-4)^
2+4)^
2+4^
2-2)^
2-2^
2-2))x3−2x2+1 and x2−x |
^
3-2*x^
2+1,x^
2-x])^
2-x-1),x*(x-1)]^
3-2*x^
2+1)*sqrt(5))^
3-2*x^
2+1,sqrt(5))