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Polynomial Equations
New in 6.0: Symbolic Computation
New in 6.0: Mathematics & Algorithms
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CountRoots
CountRoots
[
poly
,
x
]
gives the number of real roots of the polynomial
poly
in
x
.
CountRoots
[
poly
, {
x
,
a
,
b
}]
gives the number of roots between
a
and
b
.
MORE INFORMATION
CountRoots
enumerates roots with multiplicities counted.
Roots that lie exactly at
x
=
a
or
x
=
b
are counted.
The limits
a
and
b
can be complex, in which case the range is taken to be a closed rectangle in the complex plane.
EXAMPLES
CLOSE ALL
Basic Examples
(1)
Count the number of polynomial roots between 0 and 10:
In[1]:=
Out[1]=
Count roots of a polynomial in a closed rectangle:
In[2]:=
Out[2]=
Scope
(8)
Applications
(1)
Properties & Relations
(5)
Possible Issues
(1)
SEE ALSO
RootIntervals
Solve
Reduce
NumberFieldSignature
Exponent
MORE ABOUT
Polynomial Equations
New in 6.0: Symbolic Computation
New in 6.0: Mathematics & Algorithms
New in 6
© 2008 Wolfram Research, Inc.
EXAMPLES
Basic Examples 
Scope 