Degree of a polynomial

For a univariate polynomial f(x) = Σ f_n x^n, the degree is the largest exponent n whose coefficient f_n is nonzero. It is used to classify polynomials and to predict how many roots they can have.

\deg f=\max\{n\colon f_n\ne0\}

What the symbols mean

degree of the polynomial f
the polynomial
exponent of a power of the variable
coefficient of the term with exponent n

About this formula

  • FieldMathematics
  • TopicPolynomials
  • LevelHigh school
  • Also calledpolynomial degree, order of a polynomial, highest power of a polynomial, degree of polynomial formula, deg f, degree
  • SourceWikidata Q1473607

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