Discriminant of Polynomial/Examples/Cubic

Example of Discriminant of Polynomial

Let $\alpha_1$, $\alpha_2$ and $\alpha_3$ be the roots of a cubic equation $f$.

The discriminant of $f$ is:

$\paren {\alpha_1 - \alpha_2}^2 \paren {\alpha_2 - \alpha_3}^2 \paren {\alpha_3 - \alpha_1}^2$


Sources

  • 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): discriminant (of a polynomial equation)
  • 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): discriminant (of a polynomial equation)
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