Discriminant

Discriminant[poly,var]

computes the discriminant of the polynomial poly with respect to the variable var.

Discriminant[poly,var,Modulusp]

computes the discriminant modulo .

Details and Options

  • The discriminant of a polynomial with leading coefficient one is the product over all pairs of roots , of .
  • A Method option can be given, with typical possible values being Automatic, "SylvesterMatrix", "BezoutMatrix", "Subresultants", and "Modular".

Examples

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Basic Examples  (1)

Discriminant of a quadratic:

In[1]:=
Click for copyable input
Out[1]=

Scope  (4)

Options  (4)

Applications  (2)

Properties & Relations  (3)

Possible Issues  (1)

See Also

Resultant  Det  Tr  SquareFreeQ

Introduced in 2007
(6.0)