olymmath

HMMT 2001 K2

  • Calculus
  • Answer

The polynomial 3x5−250x3+735x3 x^{5}-250 x^{3}+735 x is interesting because it has the maximum possible number of relative extrema and points of inflection at integer lattice points for a quintic polynomial. What is the sum of the xx-coordinates of these points?

Dataset text NuminaMath olympiads. Quoted with source.

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