Finding roots of polynomials has been an important problem since the time of the ancient Greeks.

An extension generated by roots of separable polynomials.

The first to discover this relationship was probably Laguerre in 1880 while investigating the roots (zeros) of polynomials.

It removes the rather artificial reliance on chasing roots of polynomials.

Determining the roots of polynomials, or "solving algebraic equations", is among the oldest problems in mathematics.

The non-real roots of polynomials with real coefficients come in conjugate pairs.

This theorem's strength is the ability to find all small roots of polynomials modulo a composite .

The standard forms for elliptic integrals involved the square roots of cubic and quartic polynomials.

Therefore a general algorithm for finding eigenvalues could also be used to find the roots of polynomials.

For example, algebraic numbers are the roots of polynomials with rational coefficients.