Thats not too hard to remember if you say it in your head a few times. FOIL stands for F First O Outer I Inner and L Last. An example of this is given below.
In elementary algebra FOIL is a mnemonic for the standard method of multiplying two binomialshence the method may be referred to as the FOIL method.
The FOIL Method is used to multiply binomials. Remember that when you multiply two terms together you must multiply the coefficient numbers and add the exponents. To factor a polynomial find the product of the first and the last coefficients. A binomial is a polynomial with two terms.