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PolynomialQuotient
PolynomialQuotient[
p
,
q
,
x
] gives the quotient of p and q, treated as polynomials in x, with any remainder dropped.
See the Mathematica book: Section 3.3.4. See also: PolynomialRemainder, PolynomialReduce, PolynomialGCD, Apart, Cancel, Quotient.
Further Examples
This gives the quotient and remainder upon dividing the first polynomial by the second one, both separately and then together.
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In this example the degree of the remainder is zero, which must be the case because the divisor is of degree one.
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