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 .

Details and OptionsDetails 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.

ExamplesExamplesopen allclose all

Basic Examples (3)Basic Examples (3)

Find the coefficients in a polynomial:

In[1]:=
Click for copyable input
Out[1]=

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

In[1]:=
Click for copyable input
Out[1]=

Matrix of coefficients for a quadratic form:

In[1]:=
Click for copyable input
Out[1]=
New in 1 | Last modified in 4.2
New to Mathematica? Find your learning path »
Have a question? Ask support »