MULTIPLYING BINOMIALS

Solve the following problems using the distributive property.

x ( 3 + 7 ) =

( 2x + 3 ) x =

3x + 7x

10x

2x2 + 3x

OBJECTIVE

Today we will learn how to multiply binomials by using the FOIL method.

USING THE DISTRIBUTIVE PROPERTY

( x + 2 ) ( x + 5 ) = ( x + 2 ) (x) + ( x + 2 ) (5)

x2 + 2x + 5x + 10

x2 + 7x + 10

F.O.I.L

F irst O uter I nner L ast

( x + 2 ) ( x + 5 )

EXAMPLES

( x + 4 ) ( x + 8 ) =

( x + 5 ) ( x – 6) =

x2 + 8x + 4x + 32

x2 − 6x + 5x − 30

x2 + 12x + 32

x2 − x − 30

PRACTICE

( x − 7 ) ( x − 4 ) =

( x + 10 ) ( x + 3 ) =

x2 + 3x + 10x + 30

x2 + 13x + 30

x2 − 4x − 7x + 28

x2 − 11x + 28

( 2x2 + 4 ) ( 3x − 5 ) =

( 3x2 − 6x) (4x + 2) =

EXAMPLES

6x3 − 10x2 + 12x− 20

12x3 + 6x2

− 24x2

− 12x

12x3 − 18x2 − 12x

( 4x2 + 2 ) ( 2x + 8 ) =

8x3 + 32x2 + 4x + 16

(3x2 − 7x ) ( x − 9 ) =

3x3 − 27x2 − 7x2 + 63x

3x3 −34x2 + 63x

PRACTICE

QUICK REVIEW

oWhen multiplying binomials we can think of it as using the distributive property twice or by using the FOIL method.

First

Outer

Inner

Last

EXIT SLIP

On a piece of paper answer the following questions:

How does the distributive property related to the FOIL method?

What does FOIL stand for? ( x + 3 ) ( x − 8 ) = ( 2x2 − 7 ) ( 4x − 2 ) =