FOIL: Sometimes there is no pattern

Expanding BinomialsFactoring

(x+3)(2x-1)

(3x-1)(x-2)

Don't worry about things you can't control.

Review expanding binomialsReview FOIL method

Objective

Suppose…

You’re on a fast-paced game show, forced to simplify binomials at a moment’s notice…no patterns are working! AHHH!!! What are you going to do?

FOIL

FOILFirst: Multiply the first terms of both binomials.

Outside: Multiply together the outside terms of both binomials

Inside: Multiply together the inside terms of both binomials

Last: Multiply together the last two terms of both binomials

(x +4)(x + 2)

F: x²

O: 2x

I: 4x

L: 8

Add it all up: x² + 2x + 4x + 8 = x² + 6x + 8

Example

FOIL always works!

Multiplying two binomials is a special case of distribution

FOIL stands for First, Outside, Inside, and Last.FOIL lets you apply distribution without lots of…

well…distribution.FOIL is just a tool to help you apply the distributive

property easily and consistentlyPatterns like squares patterns can help you solve a

problem really quickly, but FOIL will ALWAYS work.

Key Points

Worksheet Pg. 303

Homework