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Documentation / Mathematica / Built-in Functions / Algebraic Computation / Polynomial Functions /

RootSum

FilledSmallSquare RootSum[f, form] represents the sum of form[x] for all x that satisfy the polynomial equation f[x] == 0.

FilledSmallSquare f must be a Function object such as (#^5 - 2 # + 1)&.

FilledSmallSquare form need not correspond to a polynomial function.

FilledSmallSquare Normal[expr] expands RootSum objects into explicit sums involving Root objects.

FilledSmallSquare f and form can contain symbolic parameters.

FilledSmallSquare RootSum[f, form] is automatically simplified whenever form is a rational function.

FilledSmallSquare RootSum is often generated in computing integrals of rational functions.

FilledSmallSquare See Section 3.4.3.

FilledSmallSquare See also: Root.

FilledSmallSquare Related package: Algebra`SymmetricPolynomials`.

FilledSmallSquare New in Version 3.

Further Examples