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:

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

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Matrix of coefficients for a quadratic form:

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Introduced in 1988
(1.0)
| Updated in 2002
(4.2)