Multiplying Polynomials

Show your work for each problem.

1.
What is ?
1. a)
2. b)
3. c)
4. d)
Answer:
2.
Simplify: . Enter just the polynomial.
Answer: 5x - 10
3.
What does FOIL stand for?
1. a)Factor, Order, Integer, Linear
2. b)Find, Operate, Identify, List
3. c)Formula, Operation, Inverse, Limit
4. d)First, Outer, Inner, Last
Answer: First, Outer, Inner, Last
FOIL = First, Outer, Inner, Last - the order to multiply terms in .
4.
Use FOIL to multiply
Answer: x^2 + 7x + 10
1. First: What is ? x^2
2. Outer: What is ? 5x
3. Inner: What is ? 2x
4. Last: What is ? 10
5. Combine: x^2 + 7x + 10
5.
What is ?
1. a)
2. b)
3. c)
4. d)
Answer:
6.
Multiply:
Answer: x^2 - 7x + 10
. The last term is positive because .
7.
Expand:
Answer: x^2 + 6x + 9
1. Rewrite as a multiplication: (x + 3)(x + 3)
2. What is ? x^2
3. What is ? 6x
4. What is ? 9
5. Final answer: x^2 + 6x + 9
8.
What is ?
1. a)
2. b)
3. c)
4. d)
Answer:
9.
Multiply:
Answer: 3x^2 + 13x - 10
1. First: 3x^2
2. Outer: 15x
3. Inner: -2x
4. Last: -10
5. Combine: 3x^2 + 13x - 10
10.
Expand:
Answer: x^2 - 8x + 16
11.
What is ?
1. a)
2. b)
3. c)
4. d)
Answer:
. The middle terms cancel!
12.
Multiply:
Answer: 4x^2 - 9
13.
Multiply:
Answer: x^3 + 3x^2 + 5x + 3
1. Distribute to the trinomial: x^3 + 2x^2 + 3x
2. Distribute to the trinomial: x^2 + 2x + 3
3. Add the results and combine like terms: x^3 + 3x^2 + 5x + 3
14.
Expand:
Answer: 4x^2 + 4x + 1
1. What is ? 4x^2
2. What is ? 4x
3. What is ? 1
4. Combine: 4x^2 + 4x + 1
15.
A rectangle has length and width . Write the area as a polynomial.
Answer: x^2 + 4x - 21
Area
16.
Multiply:
Answer: x^3 - 8
1. x^3 + 2x^2 + 4x
2. -2x^2 - 4x - 8
3. Add and combine like terms: x^3 - 8