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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.
  • 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:
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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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