This is documentation for Mathematica 8, which was
based on an earlier version of the Wolfram Language.

# CoefficientList

 CoefficientListgives a list of coefficients of powers of var in poly, starting with power 0. CoefficientListgives an array of coefficients of the .
• Terms that do not contain positive integer powers of a particular variable are included in the first element of the list for that variable.
• CoefficientList always returns a full rectangular array. Combinations of powers that do not appear in poly give zeros in the array.
• CoefficientList works whether or not poly is explicitly given in expanded form.
Find the coefficients in a polynomial:
CoefficientList works even when the polynomial has not been expanded out:
Matrix of coefficients for a quadratic form:
Find the coefficients in a polynomial:
 Out[1]=

CoefficientList works even when the polynomial has not been expanded out:
 Out[1]=

Matrix of coefficients for a quadratic form:
 Out[1]=
 Scope   (2)
Univariate polynomial coefficient lists:
Multivariate polynomial coefficient lists:
 Options   (1)
Coefficient list over the integers modulo 2:
Use Coefficient to get a coefficient at a specified power of the variable:
The list of coefficients can be obtained using Coefficient and Exponent:
FromDigits can reconstruct a univariate polynomial from the list of its coefficients:
Fold the operation for multivariate polynomials:
Polynomial multiplication is convolution as performed by ListConvolve:
For multivariate polynomials CoefficientList gives a tensor of the coefficients:
CoefficientArrays gives the list of arrays of polynomial coefficients ordered by total degrees:
The coefficient of :
In the coefficient of is the element at position :
In the position is concatenated with a s and b s ( and indicate the first and second variables):