One of the things I learned in Math 10 this week is multiplying two binomials. There are a lot of methods to use but the most efficient method is FOIL Method; or **F**irst, **O**uter, **I**nner, **L**ast.

To do the **FOIL **method, first, find out if you’re multiplying a polynomial with two terms each. E.g.

So now, we have two binomials that we can multiply. (x + 2)(x + 3y)

How does the FOIL method works? First, you need to know what terms are *First, Outer, Inner, *and *Last.*

*. *So, how do you determine which is which? The **first** terms are obviously the first terms in each polynomial. In our example it is * x and x. *The

**outer**terms are the terms ‘outside’ or the ones in both ends of your equation/expression. In our given example, they are the terms

*The*

**x and 3y**.**inner**terms are the terms ‘inside’ or the two terms in the center of your equation. In our example, they are

*. Lastly, the*

**2 and x****last**terms are the the second terms in each polynomial. It’s

*in the example given.*

**2 and 3y***Note: You CANNOT multiply the terms inside of the bracket as they are divided by either addition or subtraction depending on your polynomials.*

Continuing the example, (x + 2)(x + 3y), now we need to multiply the binomials. Remember, **FOIL**