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PolynomialQuotientRemainder

PolynomialQuotientRemainder
gives a list of the quotient and remainder of p and q, treated as polynomials in x.
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  • The remainder will always have a degree not greater than q.
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Basic Examples   (1)
Find the quotient and remainder after dividing one polynomial by another:
Find the quotient and remainder after dividing one polynomial by another:
In[1]:=
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Out[1]=
Scope   (2)
The resulting polynomial will have coefficients that are rational expressions of input coefficients:
PolynomialQuotientRemainder also works for rational functions:
Options   (1)
Use a prime modulus:
Applications   (1)
Express the rational function as a polynomial and simple fraction:
The transformed rational function:
Properties & Relations   (2)
For a polynomial , :
Use Expand to verify identity:
PolynomialReduce generalizes PolynomialQuotientRemainder for multivariate polynomials:
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