Chebyshev polynomials are a sequence of orthogonal polynomials that arise in various areas of mathematics, particularly in approximation theory, numerical analysis, and polynomial interpolation.

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 \(f(x) = 0\).

Orthogonal polynomials play a significant role in quantum mechanics, particularly in solving differential equations that describe physical systems. These polynomials are used to construct ...