Want to make Multiplying Binomials Easier? Let’s use the FOIL Method!

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Want to make Multiplying Binomials Easier? Let’s use the FOIL Method! September 11, 2014 Katelin Barber

Table of Contents The Distributive Property What is the Foil Method? First Outside Inside Last Combine like Terms The FOIL Song Additional Links The Cons Review

The Distributive Property Multiply (x+3)(x+4) by using the distributive property. (x+3)(x+4) x(x+4)+3(x+4) x2 +4x+3x+12 Combine like terms x2 +7x+12 A shortcut of the distributive property is called the FOIL method

The FOIL Method The FOIL Method is only used when you multiply two binomials. Let’s use the FOIL method to multiply the following binomials (x+3)(x+4)

F tells you to multiply the FIRST terms of each binomial (x+3)(x+4)= x2

O tells you to multiply the OUTSIDE terms of each binomial (x+3)(x+4)= x2 +4x

Inside I tells you to multiply the INSIDE terms of each binomial (x+3)(x+4)= x2 +4x+3x

Last L tells you to multiply the LAST terms of each binomial (x+3)(x+4)= x2 +4x+3x+12

Combine like terms x2 +4x+3x+12= x2 +7x+12 By using the distributive property or the FOIL method, we get the same answer! Now which one do you think is easier?

Here are additional links for better understanding The Distributive Property FOIL Method Combining Like Terms

The Cons The FOIL method cannot be used everywhere. It is useful for ONLY multiplying two binomials. It CANNOT be used for problems such as (x-3)(x2+x-6) (x2+6x+9)(x2+2x-8)

Review Using the FOIL method is easy and very beneficial for multiplying binomials. First the first two terms of the binomials Outside the outside two terms of the binomials. Inside the inside terms of the binomials. Last the last terms of the binomials. You must always keep in mind that it ONLY works for multiplying two binomials.