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Resultant

  • Resultant[ , , var ] computes the resultant of the polynomials and with respect to the variable var.
  • Resultant[ , , var , Modulus-> p ] computes the resultant modulo the prime p.
  • The resultant of two polynomials and , both with leading coefficient one, is the product of all the differences between roots of the polynomials. The resultant is always a number or a polynomial.
  • See the Mathematica book: Section 3.3.4.
  • See also: PolynomialGCD, Eliminate.

    Further Examples

    Here is the resultant with respect to y of two polynomials in x and y. The original polynomials have a common root in y only for values of x at which the resultant vanishes.

    In[1]:=

    Out[1]=