If $\\alpha$ and $\\beta$ are the roots of $3x^2 - 7x - 1 = 0$, find $\\frac{1}{\\alpha^3} + \\frac{1}{\\beta^3}$.

University of Ilorin MTH101 ester past question

  1. $\\frac{343}{27}$
  2. $\\frac{343}{9}$
  3. $\\frac{343}{81}$
  4. $\\frac{343}{243}$

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