Date______________
Name _________________________
ALGEBRA 1
Lesson 9-3 “Multiplying Polynomials”
Objective II: ‘Multiplying Binomials – The FOIL Method’
LEQ:
________________________________________________________________________
Standard:
M11.D.2.2.1
Adding, subtracting, and/or multiplying, polynomial expressions.
Warm-Up Problems
Directions: Find each product.
1.
4d ( - 6d )
= ________
2.
5 ( 3c )
= ________
3.
-9w ( -6 )
= ________
4.
12t ( 3t )
= ________
Vocabulary
FOIL Method – is a method used to ____________________________ using the _________ Pair,
_________________ Pair, _________________ Pair, and _________ Pair of terms.
Key Concept
Multiplying ______________________________ using the _________________________.
Examples
1.
Find each product.
(a + 3)(a + 4)
F
= (
)(
O
) + (
)(
I
) + (
)(
L
) + (
)(
)
2.
(b- 7)(b - 2)
F
= (
3.
( 5d + 2 ) ( 3d + 4 )
)(
O
) + (
F
= (
)(
)(
I
) + (
O
) + (
)(
)(
L
) + (
I
) + (
)(
)(
)
L
) + (
)(
)
Student Practice Problem
4.
( 7t - 2 ) ( 4t - 5 )
F
= (
)(
O
) + (
)(
I
) + (
)(
L
) + (
)(
)
Examples
Directions:
Simplify each product using the Horizontal Method ( an expanded FOIL method ).
1. ( a + 2 ) ( a2 - 3a + 4 )
= (
)[
] + (
)[
] + (
)[
] + (
)[
] + (
)[
] + (
)[
]
)[
] + (
)[
] + (
)[
] + (
)[
]
=
=
=
2.
( 2b - 3 ) ( 4b2 + b - 6 )
= (
)[
=
=
=
] + (
)[
] + (
Directions:
Apply the Block or FOIL Method to solve each problem.
Find the area of the shaded region. Express your answer as a polynomial expression.
3.
2x + 5
x + 2
3x + 1
x
Recall:
Large Area
Area of a Rectangle is _____________________________
Small Area
Assignment:
___________________________________________________________________