DOCUMENTATION CENTER SEARCH
Mathematica
>
Polynomial Systems
>
Built-in
Mathematica
Symbol
Algebraic Operations on Polynomials
Tutorials »
|
Subresultants
Discriminant
PolynomialGCD
Eliminate
See Also »
|
Polynomial Algebra
Polynomial Systems
More About »
Resultant
Resultant
[
poly
1
,
poly
2
,
var
]
computes the resultant of the polynomials
poly
1
and
poly
2
with respect to the variable
var
.
Resultant
[
poly
1
,
poly
2
,
var
,
Modulus
->
p
]
computes the resultant modulo the prime
p
.
MORE INFORMATION
The resultant of two polynomials
p
and
q
, both with leading coefficient one, is the product of all the differences
p
i
-
q
j
between roots of the polynomials. The resultant is always a number or a polynomial.
EXAMPLES
CLOSE ALL
Basic Examples
(1)
The resultant vanishes exactly when the polynomials have roots in common:
In[1]:=
Out[1]=
Scope
(4)
Generalizations & Extensions
(1)
Options
(4)
Applications
(2)
Properties & Relations
(6)
Possible Issues
(1)
SEE ALSO
Subresultants
Discriminant
PolynomialGCD
Eliminate
TUTORIALS
Algebraic Operations on Polynomials
MORE ABOUT
Polynomial Algebra
Polynomial Systems
RELATED LINKS
NKS|Online
(
A New Kind of Science
)
New in 1
© 2008 Wolfram Research, Inc.
EXAMPLES
Basic Examples 
Scope 