Algebra: Factoring a Bionomial

In order to solve a binomial , you have to solve it by using foil. First, Outside, Inside and Last. Here let's solve this binomial:

(4x + 6)(x + 2)

First - multiply the first term in each set of parenthesis: 4x * x = 4x2

Outside - multiply the two terms on the outside: 4x * 2 = 8x

Inside - multiply both of the inside terms: 6 * x = 6x

Last - multiply the last term in each set of parenthesis: 6 * 2 = 12

Now just add everything together to get 4x2 + 14x + 12. This method only works easily with two binomials. To multiply something complicated like (4x + 6)(5x - 3)(15 - x), just do FOIL on two of the binomials and then distribute the answer onto the remaining binomial.