Resultant

Resultant[poly1,poly2,var]

computes the resultant of the polynomials poly1 and poly2 with respect to the variable var.

Resultant[poly1,poly2,var,Modulusp]

computes the resultant modulo the prime p.

Details and Options

  • The resultant of two polynomials p and q, both with leading coefficient 1, is the product of all the differences pi-qj between roots of the polynomials. The resultant is always a number or a polynomial.

Examples

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Basic Examples  (1)

The resultant vanishes exactly when the polynomials have roots in common:

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Scope  (4)

Generalizations & Extensions  (1)

Options  (4)

Applications  (2)

Properties & Relations  (6)

Possible Issues  (1)

See Also

Subresultants  Discriminant  PolynomialGCD  Eliminate

Tutorials

Introduced in 1988
(1.0)