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 lowest 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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the orderofapolynomial may refer to: the degree ofapolynomial, that is, the largest exponent (for a univariate polynomial) or the largest sum of exponents...
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algorithms, such as polynomial long division, require the terms to be in a specific order. Many of the main algorithms for multivariate polynomials are related...
solves the task and runs in polynomial time exists, meaning the task completion time varies as apolynomial function on the size of the input to the algorithm...
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the union of all complexity classes in the polynomial hierarchy, is precisely the class of languages expressible by statements of second-order logic. This...
precisely, it is apolynomial function of the coefficients of the original polynomial. The discriminant is widely used in polynomial factoring, number...
by apolynomialof degree four, called a quartic polynomial. A quartic equation, or equation of the fourth degree, is an equation that equates a quartic...