Example \PageIndex{31}: How to Multiply a Binomial by a Binomial using the FOIL Method When you multiply by the FOIL method, drawing the lines will help your brain focus on the pattern and make it...Example \PageIndex{31}: How to Multiply a Binomial by a Binomial using the FOIL Method When you multiply by the FOIL method, drawing the lines will help your brain focus on the pattern and make it easier to apply. Multiply using the Distributive Property: (x+4)\left(2 x^{2}-3 x+5\right) Multiply using the Vertical Method: (x+4)\left(2 x^{2}-3 x+5\right) Multiplying a Trinomial by a Binomial—To multiply a trinomial by a binomial, use the: