# CoefficientList

CoefficientList[poly,var]

gives a list of coefficients of powers of var in poly, starting with power 0.

CoefficientList[poly,{var1,var2,}]

gives an array of coefficients of the vari.

CoefficientList[poly,{var1,var2,},{dim1,dim2,}]

gives an array of dimensions {dim1,dim2,}, truncating or padding with zeros as needed.

# Details and Options

• The dimensions of the array returned by CoefficientList are determined by the values of the Exponent[poly,vari].
• 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[0,var] gives {}.
• CoefficientList works whether or not poly is explicitly given in expanded form.

# Examples

open allclose all

## Basic Examples(3)

Find the coefficients in a polynomial:

 In[1]:=
 Out[1]=

CoefficientList works even when the polynomial has not been expanded out:

 In[1]:=
 Out[1]=

Matrix of coefficients for a quadratic form:

 In[1]:=
 Out[1]=