10'2 Multiplying Polynomials

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10.2 Multiplying Polynomials

• Goal Multiplying polynomials

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Multiply the polynomial by the monomial.
1) 3(x 4)
Distributive Property
2)
3)
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Multiplying Polynomials
Horizontal Method
Vertical Method


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Polynomial Squares
Simplify.
Common mistake!
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Simplify.
1)
2)
6
Objective - To multiply binomials mentally using
FOIL.
Often the product of two binomials

Trinomial

Quadratic Term
Constant Term
Linear Term
Takes too long!
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F O I L
For use with the product of binomials only!
First
Outer
Inner
Last
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F O I L
For use with the product of binomials only!
First
Outer
Inner
Last
9
F O I L
For use with the product of binomials only!
Last
First
Outer
Inner
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F O I L
For use with the product of binomials only!
Outer
First
Inner
Last
11
F O I L
For use with the product of binomials only!
Inner
First
Outer
Last
12
F O I L
For use with the product of binomials only!
First
Outer
Inner
Last
13
F O I L
For use with the product of binomials only!
Outer
First
Inner
Last
14
F O I L
For use with the product of binomials only!
Inner
First
Outer
Last
15
F O I L
For use with the product of binomials only!
Last
First
Outer
Inner
16
F O I L
For use with the product of binomials only!
First
Outer
Inner
Last
17
F O I L
Try...
First
Outer
Inner
Last
18
F O I L
Try...
First
Outer
Inner
Last
19
F O I L
Try...
Outer
First
Inner
Last
20
F O I L
Try...
Inner
First
Outer
Last
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F O I L
Try...
Last
First
Outer
Inner
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Multiply Binomials Using Foil
Combine like terms
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Multiplying Polynomials Vertically
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Multiply Polynomials Horizontally
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Use FOIL to multiply the binomials below.
1)
6)
2)
7)
3)
8)
4)
9)
5)
10)
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Use FOIL to multiply the binomials below.
11)
16)
12)
17)
13)
18)
14)
19)
15)
20)