In mathematics a monomial basis is a way to describe uniquely a polynomial using a linear combination of monomials. This description, the monomial form of a polynomial, is often used because of the simple structure of the monomial basis.
Polynomials in monomial form can be evaluated efficiently using Horner's method.
The monomial basis for the vector space of polynomials with degree n is the polynomial sequence of monomials
The monomial form of a polynomial is a linear combination of monomials
alternatively the shorter sigma notation can be used
A polynomial can always be converted into monomial form by calculating its Taylor expansion around 0.
A polynomial in