#Polynomials

Work on the problem of general polynomials ultimately led to the fundamental theorem of algebra, which shows that with complex numbers, a solution exists to every polynomial equation of degree one or higher. Formally, P is a symmetric polynomial, if for any permutation σ of the subscripts 1, 2,., n one has P ( X, X, …, X ) = P ( X, X, …, X ). From this point of view the elementary symmetric polynomials are the most fundamental symmetric polynomials. [Read More]