Polynomial Roots Calculator
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Separable polynomial - In mathematics, a polynomial P(X) is separable over a field K if its roots in an algebraic closure of K are distinct - that is P(X) has distinct linear factors in some large enough field extension. Equivalently, P is separable if and only if it is coprime to its formal derivative P′.
Chebyshev nodes - In the mathematical subfield of numerical analysis Chebyshev nodes are the roots of the Chebyshev polynomial of the first kind. They are often used as nodes in polynomial interpolation because the resulting interpolation polynomial minimizes the problem of Runge's phenomenon.
Fundamental theorem of algebra - In mathematics, the fundamental theorem of algebra states that every complex polynomial p(z) in one variable and of degree n ≥ 1 has some complex root. In other words, the field of complex numbers is algebraically closed and therefore, like for any other algebraically closed field, the equation p(z)=0 has n roots (not necessarily distinct).
Descartes' rule of signs - Descartes' rule of signs, first described by René Descartes in his work La Geometrie, is a technique for determining the number of positive or negative roots of a polynomial.
polynomialrootscalculator
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