The FOIL method is usually the quickest method for multiplying two binomials, but it works only for binomials. When you multiply a binomial by a binomial you get four terms. Sometimes you can combine ...The FOIL method is usually the quickest method for multiplying two binomials, but it works only for binomials. When you multiply a binomial by a binomial you get four terms. Sometimes you can combine like terms to get a trinomial, but sometimes there are no like terms to combine. Another method that works for all polynomials is the Vertical Method. It is very much like the method you use to multiply whole numbers.