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Degree of a polynomial

In mathematics, the degree of a polynomial is the highest of the degrees of the polynomial's monomials (individual terms) with non-zero coefficients. The degree of a term is the sum of the exponents of the variables that appear in it, and thus is a non-negative integer. For a univariate polynomial, the degree of the polynomial is simply the highest…

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Names of polynomials by degree

Zero§ Degree of the zero polynomialConstantLinearQuadratic
16 related topics

Computed from the function values

Asymptotic analysisLog–log plotMultiplicative inverseSquare rootLogarithm
10 related topics

Behavior under polynomial operations

ScalarSetVector spaceExamples of vector spacesField
8 related topics

Degree function in abstract algebra

Polynomial ringPrincipal ideal domainEuclidean domainModulo
4 related topics

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Names of polynomials by degree

Behavior under polynomial operations

Computed from the function values

Degree function in abstract algebra

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Degree of a polynomial

Nodes53
Edges52
Triples7
Avg. degree1.96
Density0.037736
Components1

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Degree of a polynomial

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related to Degree function in abstract algebra · 5
Degree of a polynomial → Euclidean, Given, In, It, That
is a · 1
Degree of a polynomial → highest of the degrees of the polynomial's monomials
related to Computed from the function values · 1
Degree of a polynomial → One

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Important terminology

degree polynomial displaystyle polynomials example degrees terms sum ring two term zero field product also algebra infty highest variables function

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SubjectPredicateObjectConfidenceSrc
Degree of a polynomialis ahighest of the degrees of the polynomial's monomials0.90text
Degree of a polynomialrelated to Computed from the function valuesOne0.60section
Degree of a polynomialrelated to Degree function in abstract algebraGiven0.60section
Degree of a polynomialrelated to Degree function in abstract algebraIn0.60section
Degree of a polynomialrelated to Degree function in abstract algebraEuclidean0.60section
Degree of a polynomialrelated to Degree function in abstract algebraIt0.60section
Degree of a polynomialrelated to Degree function in abstract algebraThat0.60section

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