We solve polynomials algebraically in order to determine the roots - where a curve cuts the \(x\)-axis. A root of a polynomial function, \(f(x)\), is a value for \(x\) for which \(f(x) = 0\).

Polynomial and special function theory remains a vibrant area of mathematical research, interweaving classical algebra with advanced analysis. At its core, the study concerns algebraic expressions ...

Let Πn = Πn(it, cosα), where n ≧ 2 is an integer, t ≠ 0 is real and 0 ≦ α ≦ π, be the class of trigonometrical polynomials Φn with real coefficients and of order ≦ n, such that |Φn(x)| ≦ 1 for all ...