CoefficientRules
CoefficientRules[poly,{x1,x2,…}]
gives the list {{e11,e12,…}c1,{e21,…}c2,…} of exponent vectors and coefficients for the monomials in poly with respect to the xi.
CoefficientRules[poly,{x1,x2,…},order]
gives the result with the monomial ordering specified by order.
Details and Options

- CoefficientRules works whether or not poly is explicitly given in expanded form.
- CoefficientRules[poly] is equivalent to CoefficientRules[poly,Variables[poly]].
- Possible settings for order are the same as in MonomialList.
- The default order is "Lexicographic".
- CoefficientRules[poly,vars,Modulus ->m] computes the coefficients modulo m.
- CoefficientRules[poly,All,order] is the same as CoefficientRules[poly,Variables[poly],order].
Introduced in 2008
(7.0)