MULTIPLYING BINOMIALS
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Transcript of MULTIPLYING BINOMIALS
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MULTIPLYING BINOMIALS
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Solve the following problems using the distributive property.
x ( 3 + 7 ) =
( 2x + 3 ) x =
3x + 7x
10x
2x2 + 3x
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OBJECTIVE
Today we will learn how to multiply binomials by using the FOIL method.
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USING THE DISTRIBUTIVE PROPERTY
( x + 2 ) ( x + 5 ) = ( x + 2 ) (x) + ( x + 2 ) (5)
x2 + 2x + 5x + 10
x2 + 7x + 10
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F.O.I.L
F irst O uter I nner L ast
( x + 2 ) ( x + 5 )
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EXAMPLES
( x + 4 ) ( x + 8 ) =
( x + 5 ) ( x – 6) =
x2 + 8x + 4x + 32
x2 − 6x + 5x − 30
x2 + 12x + 32
x2 − x − 30
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PRACTICE
( x − 7 ) ( x − 4 ) =
( x + 10 ) ( x + 3 ) =
x2 + 3x + 10x + 30
x2 + 13x + 30
x2 − 4x − 7x + 28
x2 − 11x + 28
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( 2x2 + 4 ) ( 3x − 5 ) =
( 3x2 − 6x) (4x + 2) =
EXAMPLES
6x3 − 10x2 + 12x− 20
12x3 + 6x2
− 24x2
− 12x
12x3 − 18x2 − 12x
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( 4x2 + 2 ) ( 2x + 8 ) =
8x3 + 32x2 + 4x + 16
(3x2 − 7x ) ( x − 9 ) =
3x3 − 27x2 − 7x2 + 63x
3x3 −34x2 + 63x
PRACTICE
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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
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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 ) =