This document describes the FOIL method for multiplying binomial expressions. FOIL is an acronym that represents multiplying the First, Outer, Inner, and Last terms of each binomial: first multiply the first terms, then the outer terms, then the inner terms, and finally the last terms. The document provides examples of using FOIL to multiply (3x+2)(4x+1), (x+4)(5x+2), and (3x+2)(4x+1).