Mathematica 9 is now available
 Documentation / Mathematica / Built-in Functions / Algebraic Computation / Polynomial Functions  /
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]=



    Any questions about topics on this page? Click here to get an individual response.Buy NowMore Information
    THIS IS DOCUMENTATION FOR AN OBSOLETE PRODUCT.
    SEE THE DOCUMENTATION CENTER FOR THE LATEST INFORMATION.