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DOCUMENTATION CENTER SEARCH
Mathematica
>
Mathematics and Algorithms
>
Formula Manipulation
>
Algebraic Transformations
>
Built-in
Mathematica
Symbol
Transforming Algebraic Expressions
Putting Expressions into Different Forms
Structural Operations on Rational Expressions
Structural Operations on Polynomials
Polynomials Modulo Primes
Tutorials »
|
IrreduciblePolynomialQ
FactorList
FactorTerms
FactorSquareFree
SquareFreeQ
Solve
Expand
Simplify
FactorInteger
TrigFactor
FullSimplify
See Also »
|
Algebraic Number Theory
Algebraic Transformations
Formula Manipulation
Polynomial Algebra
Polynomial Factoring & Decomposition
Precollege Education
Rational Functions
New in 6.0: Symbolic Computation
More About »
Factor
Factor
[
poly
]
factors a polynomial over the integers.
Factor
[
poly
,
Modulus
->
p
]
factors a polynomial modulo a prime
p
.
Factor
[
poly
,
Extension
->{
a
1
,
a
2
,
...
}]
factors a polynomial allowing coefficients that are rational combinations of the algebraic numbers
a
i
.
MORE INFORMATION
Factor
applies only to the top algebraic level in an expression. You may have to use
Map
, or apply
Factor
again, to reach other levels.
Factor
[
poly
,
GaussianIntegers
->
True
]
factors allowing Gaussian integer coefficients.
If any coefficients in
poly
are complex numbers, factoring is done allowing Gaussian integer coefficients.
The exponents of variables need not be positive integers.
Factor
can deal with exponents that are linear combinations of symbolic expressions.
When given a rational expression,
Factor
effectively first calls
Together
, then factors numerator and denominator.
With the default setting
Extension
->
None
,
Factor
[
poly
]
will treat algebraic number coefficients in
poly
like independent variables.
Factor
[
poly
,
Extension
->
Automatic
]
will extend the domain of coefficients to include any algebraic numbers that appear in
poly
.
»
Factor
automatically threads over lists, as well as equations, inequalities and logic functions.
EXAMPLES
CLOSE ALL
Basic Examples
(2)
Factor polynomials:
In[1]:=
Out[1]=
In[2]:=
Out[2]=
In[3]:=
Out[3]=
Factor modulo 2:
In[1]:=
Out[1]=
Scope
(3)
Generalizations & Extensions
(1)
Options
(5)
Properties & Relations
(3)
Neat Examples
(2)
SEE ALSO
IrreduciblePolynomialQ
FactorList
FactorTerms
FactorSquareFree
SquareFreeQ
Solve
Expand
Simplify
FactorInteger
TrigFactor
FullSimplify
TUTORIALS
Transforming Algebraic Expressions
Putting Expressions into Different Forms
Structural Operations on Rational Expressions
Structural Operations on Polynomials
Polynomials Modulo Primes
RELATED LINKS
Demonstrations with Factor
(
Wolfram Demonstrations Project
)
Implementation notes: Algebra and Calculus
NKS|Online
(
A New Kind of Science
)
MORE ABOUT
Algebraic Number Theory
Algebraic Transformations
Formula Manipulation
Polynomial Algebra
Polynomial Factoring & Decomposition
Precollege Education
Rational Functions
New in 6.0: Symbolic Computation
New in 1 | Last modified in 6