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fundamental polynomial

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  • Polynomial function theorems for zeros — are a set of theorems aiming to find (or determine the nature) of the complex zeros of a polynomial function.Found in most precalculus textbooks, these theorems include: * Remainder theorem * Factor theorem * Descartes rule of signs * Rational… …   Wikipedia

  • Polynomial conjoint measurement — is an extension of the theory of conjoint measurement to three or more attributes. It was initially developed by the mathematical psychologists David Krantz (1968) and Amos Tversky (1967). The theory was given a comprehensive mathematical… …   Wikipedia

  • Fundamental theorem of algebra — In mathematics, the fundamental theorem of algebra states that every non constant single variable polynomial with complex coefficients has at least one complex root. Equivalently, the field of complex numbers is algebraically closed.Sometimes,… …   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 — 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 factorization — In mathematics and computer algebra, polynomial factorization typically refers to factoring a polynomial into irreducible polynomials over a given field. Formulation of the questionOther factorizations, such as square free factorization exist,… …   Wikipedia

  • Fundamental theorem of Galois theory — In mathematics, the fundamental theorem of Galois theory is a result that describes the structure of certain types of field extensions.In its most basic form, the theorem asserts that given a field extension E / F which is finite and Galois,… …   Wikipedia

  • fundamental theorem of algebra — Theorem of equations proved by Carl Friedrich Gauss in 1799. It states that every polynomial equation of degree n with complex number coefficients has n roots, or solutions, in the complex numbers. * * *       Theorem of equations proved by Carl… …   Universalium

  • fundamental theorem of algebra — a theorem in algebra: every equation which can be put in the form with zero on one side of the equal sign and a polynomial of degree greater than or equal to one with real or complex coefficients on the other has at least one root which is a real …   Useful english dictionary

  • Symmetric polynomial — This article is about individual symmetric polynomials. For the ring of symmetric polynomials, see ring of symmetric functions. In mathematics, a symmetric polynomial is a polynomial P(X1, X2, …, Xn) in n variables, such that if any of the… …   Wikipedia

  • Irreducible polynomial — In mathematics, the adjective irreducible means that an object cannot be expressed as a product of at least two non trivial factors in a given set. See also factorization. For any field F , the ring of polynomials with coefficients in F is… …   Wikipedia

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