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Order of a polynomial

From Wikipedia, the free encyclopedia

In mathematics, the order of a polynomial may refer to:

  • the degree of a polynomial, that is, the largest exponent (for a univariate polynomial) or the largest sum of exponents (for a multivariate polynomial) in any of its monomials;
  • the multiplicative order, that is, the number of times the polynomial is divisible by some value;
  • the order of the polynomial considered as a power series, that is, the degree of its non-zero term of highest degree; or
  • the order of a spline, either the degree+1 of the polynomials defining the spline or the number of knot points used to determine it.

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