A monomial is a product of positive integer powers of a fixed set of variables (possibly) together with a coefficient, e.g., x, 3x y^2, or -2 x^2 y^3 z. A monomial can also be thought of as a nonzero summand of a polynomial (Becker and Weispfenning 1993, p. 191; Cox et al. 1996). A monomial with the coefficient excluded is usually called a term. Unfortunately, in some older works, the definitions of monomial and term are sometimes reversed. Care is therefore needed in attempting to distinguish these conflicting usages. The Wolfram Language command MonomialList[poly, {x_1, x_2, ...}] gives the list of monomials with respect to the variables x_i in the specified polynomial.
binomial | coefficient | Gröbner basis | monic polynomial | monomial order | polynomial | term | trinomial | variable
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