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Square-free polynomial

In mathematics, a square-free polynomial is a univariate polynomial (over a field or an integral domain) that has no multiple root in an algebraically closed field containing its coefficients. In characteristic 0, or over a finite field, a univariate polynomial is square free if and only if it does not have as a divisor any square of a non-constant…

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MathematicsUnivariate polynomialFieldIntegral domainMultiple root
27 related topics

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Yun's algorithm

Square root

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Square-free polynomial

Nodes34
Edges33
Triples1
Avg. degree1.94
Density0.058824
Components1

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Square-free polynomial

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is a · 1
Square-free polynomial → univariate polynomial

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square-free polynomial factorization field gcd displaystyle algorithm decomposition square characteristic divisor polynomials derivative root univariate product quotient coefficients greatest common

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SubjectPredicateObjectConfidenceSrc
Square-free polynomialis aunivariate polynomial0.90text

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