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Mathematica® Teacher's Edition (2002)

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CoefficientList

FilledSmallSquare CoefficientList[poly, var] gives a list of coefficients of powers of var in poly, starting with power 0.
FilledSmallSquare CoefficientList[poly, , , ... ] gives an array of coefficients of the .

FilledSmallSquare Example: CoefficientList[x^2 + 2 x y - y, x, y]LongRightArrow.
FilledSmallSquare The dimensions of the array returned by CoefficientList are determined by the values of the Exponent[poly, ].
FilledSmallSquare Terms that do not contain positive integer powers of a particular variable are included in the first element of the list for that variable.
FilledSmallSquare CoefficientList always returns a full rectangular array. Combinations of powers that do not appear in poly give zeros in the array.
FilledSmallSquare CoefficientList works whether or not poly is explicitly given in expanded form.
FilledSmallSquare See The Mathematica Book on the web: Section 3.3.2.
FilledSmallSquare See also: Series, Collect, FactorList.