computes the resultant of the polynomials poly1 and poly2 with respect to the variable var.
Examplesopen allclose all
Generalizations & Extensions (1)
Properties & Relations (6)
The resultant is zero if and only if the polynomials have a common root:
The polynomials have a zero resultant if and only if they have a nonconstant PolynomialGCD:
The resultant can be represented in terms of roots as :
Equation relates Discriminant and Resultant:
GroebnerBasis can also be used to find conditions for common roots:
The same problem can also be solved using Reduce, Resolve, and Eliminate:
Wolfram Research (1988), Resultant, Wolfram Language function, https://reference.wolfram.com/language/ref/Resultant.html (updated 2022).
Wolfram Language. 1988. "Resultant." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2022. https://reference.wolfram.com/language/ref/Resultant.html.
Wolfram Language. (1988). Resultant. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/Resultant.html