In elementary algebra, a binomial's a polynomial with two terms—the sum of two monomials—often bound by parenthesis or brackets when operated upon. It's the simplest kind of polynomial other than monomials. Operations on simple binomials The binomial a^2 - b^2 can be factored as the product of two other binomials: » : a^2 - b^2 = (a + b)(a - b). This's a special case of the more general formula: a^. The product of a pair of linear binomials (ax+b) and (cx+d)'s: » : (ax+b)(cx… (More on Binomial)