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polynomial division

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  • Polynomial arithmetic — includes basic mathematical operations such as addition, subtraction, and multiplication. These operations are defined naturally as if the variable x was an element of S. Division is defined similarly, but requires that S be a field. Examples of… …   Wikipedia

  • Polynomial — In mathematics, a polynomial (from Greek poly, many and medieval Latin binomium, binomial [1] [2] [3], the word has been introduced, in Latin, by Franciscus Vieta[4]) is an expression of finite length constructed from variables (also known as… …   Wikipedia

  • Polynomial long division — In algebra, polynomial long division is an algorithm for dividing a polynomial by another polynomial of the same or lower degree, a generalised version of the familiar arithmetic technique called long division. It can be done easily by hand,… …   Wikipedia

  • Polynomial ring — In mathematics, especially in the field of abstract algebra, a polynomial ring is a ring formed from the set of polynomials in one or more variables with coefficients in another ring. Polynomial rings have influenced much of mathematics, from the …   Wikipedia

  • Polynomial remainder theorem — The polynomial remainder theorem in algebra is an application of polynomial long division. It states that the remainder, r,, of a polynomial, f(x),, divided by a linear divisor, x a,, is equal to f(a) ,.This follows from the definition of… …   Wikipedia

  • División polinomial — Saltar a navegación, búsqueda En álgebra, división polinomial es un algoritmo que permite dividir un polinomio por otro polinomio de igual o menor grado. El algoritmo es una versión generalizada de la técnica aritmética de división. Es fácilmente …   Wikipedia Español

  • Division polynomials — In mathematics the division polynomials provide a way to calculate multiples of points on elliptic curves over Finite fields. They play a central role in the study of counting points on elliptic curves in Schoof s algorithm. Contents 1 Definition …   Wikipedia

  • Polynomial — Polynôme Courbe polynomiale cubique Un polynôme, en mathématiques, est la combinaison linéaire des produits de puissances d une ou de plusieurs indéterminées, habituellement notées X, Y, Z… Ces objets sont largement utilisés en pratique, ne… …   Wikipédia en Français

  • Division (mathematics) — Divided redirects here. For other uses, see Divided (disambiguation). For the digital implementation of mathematical division, see Division (digital). In mathematics, especially in elementary arithmetic, division (÷ …   Wikipedia

  • Square-free polynomial — In mathematics, a square free polynomial is a polynomial with no square factors, i.e, f in F [x] is square free if and only if b^2 mid f for every b in F [x] with non zero degree. This definition implies that no factors of higher order can exist …   Wikipedia

  • Long division — For the album by Rustic Overtones, see Long Division.In arithmetic, long division is the standard procedure suitable for dividing simple or complex multidigit numbers. It breaks down a division problem into a series of easier steps. As in all… …   Wikipedia

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