FOIL: Sometimes there is no pattern (x+3)(2x-1) (3x-1)(x-2)

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Presentation transcript:

FOIL: Sometimes there is no pattern (x+3)(2x-1) (3x-1)(x-2)

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

Review expanding binomials Review FOIL method

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

First: 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 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 consistently Patterns like squares patterns can help you solve a problem really quickly, but FOIL will ALWAYS work.

Worksheet Pg. 303