The Product of the Squares of the differences of the Polynomial Roots
. For a Polynomial of degree ,
(1) |
The discriminant of the Quadratic Equation
(2) |
(3) |
(4) |
The discriminant of the Cubic Equation
(5) |
(6) |
(7) | |||
(8) |
(9) |
(10) |
(11) |
The discriminant of a Quartic Equation
(12) |
(13) |
See also Resultant
References
Beeler, M.; Gosper, R. W.; and Schroeppel, R. HAKMEM. Cambridge, MA: MIT Artificial Intelligence Laboratory, Memo AIM-239, Feb. 1972.
© 1996-9 Eric W. Weisstein