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based on an earlier version of the Wolfram Language.
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RootSum[f, form]
represents the sum of form[x] for all x that satisfy the polynomial equation f[x]0.
  • f must be a Function object such as (#^5-2#+1)&.
  • form need not correspond to a polynomial function.
  • f and form can contain symbolic parameters.
  • RootSum[f, form] is automatically simplified whenever form is a rational function.
  • RootSum is often generated in computing integrals of rational functions.
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