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A field K is said to be algebraically closed if every polynomial with coefficients in K has a root in K.

The use of three prior points in a root-finding algorithm to estimate the zero crossing.

The number 1. There are n nth roots of unity, known as the de Moivre numbers.

An extension F of a field K is said to be algebraic if every element of F is algebraic over K (i.e., is the root of a nonzero polynomial with coefficients in K).

An equation of the form y=ax^3+bx^2+cx+d where only one root is real.

One of the operations of addition, subtraction, multiplication, division, and integer (or rational) root extraction.

A root-finding algorithm based on the iteration formula x_(n+1)=x_n-(f(x_n))/(f^'(x_n)){1+(f(x_n)f^('')(x_n))/(2[f^'(x_n)]^2)}. This method, like Newton's method, has poor ...

A complicated polynomial root-finding algorithm which is used in the IMSL® (IMSL, Houston, TX) library and which Press et al. (1992) describe as "practically a standard in ...

Every polynomial equation having complex coefficients and degree >=1 has at least one complex root. This theorem was first proven by Gauss. It is equivalent to the statement ...

If one root of the equation f(x)=0, which is irreducible over a field K, is also a root of the equation F(x)=0 in K, then all the roots of the irreducible equation f(x)=0 are ...