Polynomial in standard sum form

Writes a polynomial in one variable as a finite sum of constant coefficients multiplied by successive powers of the variable. It is the basic definition used throughout algebra and calculus.

P(x)=\sum_{k=0}^{n}a_{k}x^{k}

What the symbols mean

the polynomial as a function of the variable x
the variable
the degree of the polynomial, a non-negative integer
the summation index running from 0 to n
the coefficient of x^k, a constant

About this formula

  • FieldMathematics
  • TopicAlgebra
  • LevelHigh school
  • Also calledpolynomial expression, polynomial definition, sum of coefficients times powers, general polynomial formula, polynomial of degree n
  • SourceWikidata Q43260

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