olymmath

HMMT 2006 K1

  • Calculus
  • Answer

A nonzero polynomial f(x)f(x) with real coefficients has the property that f(x)=f′(x)f′′(x)f(x)=f^{\prime}(x) f^{\prime \prime}(x). What is the leading coefficient of f(x)f(x) ?

Dataset text NuminaMath olympiads. Quoted with source.

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\frac{1}{18}

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