FOIL Method

One method that can be used when multiplying two binomials is the FOIL method. FOIL stands for First, Outer, Inner, and Last. These letters help to remember to multiply each term in the first binomial by each term in the second binomial using the Distributive Property.

Example Given FOIL1 and FOIL2, find FOIL3.

Step 1. Replace f(x) and g(x) with their equivalent expressions.


Step 2. Multiply the First, Outer, Inner, and Last terms of each binomial.

First + Outer + Inner + Last

FOIL5a + FOIL5b + FOIL5c + FOIL5d

Step 3. Simplify the expressions.


For a review of the FOIL method of multiplying, please select the following link:

F+O+I+L Method


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