FOIL Method

Show your work for each problem.

1.
In FOIL, what does the letter "F" stand for?
1. a)First
2. b)Formula
3. c)Final
4. d)Factor
Answer: First
F stands for "First" - you multiply the first terms of each binomial. In , First means .
2.
What is ?
1. a)
2. b)
3. c)
4. d)
Answer:
F: , O: , I: , L: . Combine: .
3.
In , what is the "Outer" product?
1. a)
2. b)
3. c)
4. d)
Answer:
Outer means the outermost terms: from the first binomial and from the second. So Outer = .
4.
What is ?
1. a)
2. b)
3. c)
4. d)
Answer:
F: , O: , I: , L: . Combine O and I: . Final: .
5.
What is ?
1. a)
2. b)
3. c)
4. d)
Answer:
F: , O: , I: , L: . Combine: . Final: .
6.
What is ?
1. a)
2. b)
3. c)
4. d)
Answer:
F: , O: , I: , L: . Combine O and I: . Final: .
7.
In , what is the "First" product?
Answer: x^2
First means the first terms: from the first binomial and from the second. .
8.
In , what is the "Last" product?
Answer: 10
Last means the last terms: from the first binomial and from the second. .
9.
What is the constant term when you expand ?
Answer: -21
The constant term is the Last product: . Full expansion: .
10.
What is the coefficient of when you expand ?
Answer: 8
O: , I: . Combine: . The coefficient is .
11.
What is the coefficient of when you expand ?
Answer: -9
O: , I: . Combine: . The coefficient is . Full: .
12.
What is the coefficient of when you expand ?
Answer: 6
First: . The coefficient of is . Full expansion: .
13.
Expand using FOIL.
Answer: x^2 + 7x + 12
1. First: What is ? x^2
2. Outer: What is ? 4x
3. Inner: What is ? 3x
4. Last: What is ? 12
5. Combine : 7x
14.
Expand using FOIL.
Answer: x^2 + 2x - 15
1. First: What is ? x^2
2. Outer: What is ? -3x
3. Inner: What is ? 5x
4. Last: What is ? -15
5. Combine : 2x
15.
Expand using FOIL.
Answer: x^2 - 8x + 12
1. First: What is ? x^2
2. Outer: What is ? -6x
3. Inner: What is ? -2x
4. Last: What is ? 12
5. Combine : -8x
16.
Expand using FOIL.
Answer: 2x^2 + 13x + 15
1. First: What is ? 2x^2
2. Outer: What is ? 10x
3. Inner: What is ? 3x
4. Last: What is ? 15
5. Combine : 13x
17.
Expand using FOIL.
Answer: 3x^2 + 10x - 8
1. First: What is ? 3x^2
2. Outer: What is ? 12x
3. Inner: What is ? -2x
4. Last: What is ? -8
5. Combine : 10x
18.
Expand using FOIL.
Answer: 6x^2 - 17x + 5
1. First: What is ? 6x^2
2. Outer: What is ? -2x
3. Inner: What is ? -15x
4. Last: What is ? 5
5. Combine : -17x