AnswersFL-1200700-Mathematics for College Algebra MISAdding and Subtracting Polynomials

Multiplying Polynomials and Simplifying Expressions Answers

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1
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What is the product of 3a + 5 and 2a2 + 4a – 2?

A
6a3 + 22a2 + 14a – 10
B
6a3 + 22a2 + 26a –10
C
18a3 + 10a2 + 14a – 10
D
28a3 + 14a – 10
2
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What did you include in your response? Check all that apply.

A
The degree of the product of the trinomials is 4 because the degree of each trinomial is 2.
B
The maximum number of terms in the product of the trinomials is 5.
C
There can be an x4 term, an x3 term, an x2 term, an x term, and a constant term.
3

–24–121224

A
–24
B
–12
C
12
D
24
79058

–2y3y5xy6x

A
–2y
B
3y
C
5xy
D
6x
79059

–3y–2xy–xy5x

A
–3y
B
–2xy
C
–xy
D
5x
79060

What is the product of 2x + y and 5x – y + 3?

Answers:
Blank 1:3
Blank 2:6
Blank 3:3
79061

[___]x2 + [___]xy + [___]x – [___]y2 + [___]y

Answer:

3

79062

[___]x2 + [___]xy + [___]x – [___]y2 + [___]y

Answer:

6

79063

[___]x2 + [___]xy + [___]x – [___]y2 + [___]y

Answer:

1

79064

[___]x2 + [___]xy + [___]x – [___]y2 + [___]y

Answer:

3

79065

What is the product of 6x – y and 2x – y + 2?

A
8x2 – 4xy + 12x + y2 – 2y
B
12x2 – 8xy + 12x + y2 – 2y
C
8x2 + 4xy + 4x + y2 – 2y
D
12x2 + 8xy + 4x + y2 + 2y
79066

Which polynomial expression represents a sum of cubes?

A
(6 – s)(s2 + 6s + 36)
B
(6 + s)(s2 – 6s – 36)
C
(6 + s)(s2 – 6s + 36)
D
(6 + s)(s2 + 6s + 36)
79067

46812

A
4
B
6
C
8
D
12
79068

Consider the expression –3(y – 5)2 – 9 + 7y.Which statements are true about the process and simplified product? Check all that apply.The first step in simplifying is to distribute the –3 throughout the parentheses.There are 3 terms in the simplified product.The simplified product is a degree 3 polynomial.The final simplified product is –3y2 + 7y – 9.The final simplified product is –3y2 + 37y – 84.

A
The first step in simplifying is to distribute the –3 throughout the parentheses.
B
There are 3 terms in the simplified product.
C
The simplified product is a degree 3 polynomial.
D
The final simplified product is –3y2 + 7y – 9.
E
The final simplified product is –3y2 + 37y – 84.
79069

What is A2 – (B + C) in simplest form?

A
8x2 – 25x + 7
B
8x2– 25x + 11
C
10x2 – 25x + 7
D
10x2 – 25x + 11
79070

Multiplying a trinomial by a trinomial follows the same steps as multiplying a binomial by a trinomial. Determine the degree and maximum possible number of terms for the product of these trinomials: (x2 + x + 2)(x2 – 2x + 3). Explain how you arrived at your answer.

Answer:

PENDING

79071

16182244

A
16
B
18
C
22
D
44
79072

[___]x2 + [___]xy + [___]x – [___]y2 + [___]y

Answer:

10

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