Polynomial greatest common divisor.

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• Polynomial Greatest Common Divisor

Polynomial greatest common divisor.

Polynomial 1

Polynomial 2

PseudoremaindersCommon division Trivial pseudodivision Reducing polynomial content Subresultant PRS Subresultant PRS, Advanced

Pseudoremainders correction algorithm.

Estimate remainders calculation method performance

Coefficients GCD will be calculated on each step.

Calculation precision

Exact

Rounded

Digits after the decimal point: 2

Calculate

Result

$1$

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Remainders

Remainder	Content
$x^{8}+x^{6}-3x^{4}-3x^{3}+8x^{2}+2x-5$	$1$
$3x^{6}+5x^{4}-4x^{2}-9x+21$	$1$
$-\frac{5}{9}x^{4}+\frac{1}{9}x^{2}-\frac{1}{3}$	$\frac{1}{9}$
$-\frac{117}{25}x^{2}-9x+\frac{441}{25}$	$-\frac{9}{25}$
$\frac{233150}{19773}x-\frac{102500}{6591}$	$\frac{50}{19773}$
$-\frac{1288744821}{543589225}$	$-\frac{1288744821}{543589225}$
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Calculators that use this calculator

• Berlekamp polynomial factorization
• GCD of several polynomials
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• Partial fraction decomposition 2
• Polynomial factorization with rational coefficients
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Calculators used by this calculator

• Polynomial division