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 ) =
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