Multiplying+a+Binomial+and+a+Binomial+(FOIL)

Multiplying Two Binomials (FOIL) __Summary__
 * To multiply two binomials you have to foil, which is different than multiplying two monomials or a binomial and a monomial.

Step 1. Multiply the first, outer, inner, and last terms

Ex. (x+7)(x-4)


 * F ** irst- x × x = x 2
 * O ** uter- x × -4 = -4x
 * I ** nner- 7 × x = 7x
 * L ** ast- 7 × -4 = -28

Step 2. Combine all like terms

a) x 2 - 4x + 7x - 28 b) -4x + 7x = 3x c) x 2 + 3x - 28

http://www.mathwarehouse.com/algebra/polynomial/foil-method-binomials.php