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Expanding the Product of Binomials Using FOIL
In this example, the FOIL method is used with two binomials that include addition.
Review of the FOIL method:
In this set of Math Tutorials the FOIL method is used find the product of two binomials. We look at the products of binomials of the following form:
(x + a)(x + b)
(ax + b)(x + c)
(ax + b)(cx + d)
In these binomials, the terms a, b, c, and d are constants.
The FOIL method is a systematic way to find the product of two binomials. The FOIL method relies on the following acronym:
F – The product of the first terms from each of the binomials. This is the F in Foil method.
O – The product of the outside terms from each of the binomials. The O in Foil method.
I – The product of the inside terms from each of the binomials. The I in Foil method.
L – The product of the last terms from each of the binomials. The L in Foil method.
With the FOIL method, these products result in four terms that can be further combined to create the expanded form of the product of the two binomials, in simplified form.
In using the FOIL method, make sure you are familiar with multiplying variable expressions. Using FOIL results in the products of two constants, two x-terms, and a constant and an x-term.
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The library of Math Tutorials is a comprehensive collection of worked-out solutions to common math problems. This overcomes a common limitation of most textbooks: the handful of worked-out examples for a given concept. We provide the full array of examples and solutions, allowing students to identify patterns among the solutions, in order to aid concept retention. We also have quizzes for many of these topics.
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