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Polynomial Division
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Built-in
Mathematica
Symbol
Algebraic Operations on Polynomials
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PolynomialQuotient
Apart
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PolynomialMod
Mod
PolynomialReduce
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Polynomial Division
Rational Functions
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PolynomialRemainder
PolynomialRemainder
[
p
,
q
,
x
]
gives the remainder from dividing
p
by
q
, treated as polynomials in
x
.
MORE INFORMATION
The degree of the result in
x
is guaranteed to be smaller than the degree of
q
.
Unlike
PolynomialMod
,
PolynomialRemainder
performs divisions in generating its results.
With the option
Modulus
->
n
, the remainder is computed modulo
n
.
EXAMPLES
CLOSE ALL
Basic Examples
(1)
Find the remainder after dividing one polynomial by another:
In[1]:=
Out[1]=
Scope
(2)
Options
(1)
Applications
(1)
Properties & Relations
(3)
Possible Issues
(1)
SEE ALSO
PolynomialQuotient
Apart
Cancel
PolynomialMod
Mod
PolynomialReduce
TUTORIALS
Algebraic Operations on Polynomials
MORE ABOUT
Polynomial Division
Rational Functions
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)
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EXAMPLES
Basic Examples 
Scope 