9-3: Multiplying Polynomials by Polynomials
Objectives:
• You will be able to multiply binomials using the "FOIL" method.
• You will be able to multiply binomials using the "box" method.
• You will be able to multiply binomials and trinomials using either the "box" method or the "FOIL" method.
Definition:
When multiplying two binomials we can also use the _________________ method.
__________ = ____________________
__________ = ____________________
__________ = ____________________
__________ = ____________________
FOIL is an acronym to remember how to do repeated distribution.
Examples & Practice Problems:
Multiply the following binomials using the FOIL method.
1.
2.
3.
4.
Definition:
method
"box"
When multiplying two binomials we can also use the ________ ____________.
(Also known as Punnett squares ... like in Science!)
Example:
( x + 4 ) ( 2x + 3 )
Examples & Practice Problems:
Multiply the following binomials using the "box" method (Punnett squares). 5.
6.
7.
8.
Directions:
When multiplying binomials and trinomials, you can use either:
(1)
method
"box"
the _____________ ________________ or (2)
repeated
distribution
____________________ ______________________________.
Examples & Practice Problems:
9.
10.
11.
12.
Applications:
We can multiply polynomials to find the area of geometric shapes.
13. Find the area of the shaded region. (Hint: )
x + 2
x
14.
x + 6
5x