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

Adding and Subtracting Polynomials — Unit test Answers

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21
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What is the product?

Question illustration
A
2 x squared minus 3
Option A
B
2 x squared + 6 x
Option B
C
2 x squared + 5 x minus 3
Option C
D
2 x squared + 6 x minus 3
Option D
22
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Mrs. Ishimitsu is installing a rubber bumper around the edge of her coffee table. The dimensions of the rectangular table are (2x2 – 16) feet and (–x2 + 4x + 1) feet. Which expression represents the total perimeter of the table, and if x = 3, what is the length of the entire rubber bumper?

A
x2 + 4x – 15; 3 feet
B
x2 + 4x – 15; 6 feet
C
2x2 + 8x – 30; 6 feet
D
2x2 + 8x – 30; 12 feet
23

What is the product?(5r − 4)(r2 − 6r + 4)

A
5r3 − 34r2 + 44r − 16
B
5r3 − 4r2 + 14r − 16
C
5r3 − 6r − 16
D
5r3 + 10r − 16
24

Arpitha factors out the greatest common factor, 9n, from the terms of the polynomial shown.162m3n4 + 45n= 9n(_______ + 5)

A
16m3n3
B
16m3n4
C
18m3n3
D
18m3n4
25

What is the difference of the two polynomials?(7y2 + 6xy) – (–2xy + 3)

A
7y2 + 4xy – 3
B
7y2 + 8xy – 3
C
7y2 + 4xy + 3
D
7y2 + 8xy + 3
26

The model represents a perfect square monomial.What equation is represented by the model?

Question illustration
A
(2x)2 = 4x2
B
(2x2)2 = 4x4
C
(4x)2 = 8x2
D
(4x2)2 = 8x8
27

What is the product?

Question illustration
A
negative 81 t squared minus 16
Option A
B
negative 81 t squared + 16
Option B
C
negative 81 t squared minus 72 t + 16
Option C
D
negative 81 t squared + 72 t + 16
Option D
28

Which terms could be used as the last term of the expression below to create a polynomial written in standard form? Select three options.–5x2y4 + 9x3y3 + x5y5–4x4y56x4y–xy5–

Question illustration
A
x5
B
y5
C
–4x4y5
D
6x4y
E
–xy5
F
–
Option F
29

The area of a square can be represented by the expression x10. Which monomial represents a side of the square?

A
x2
B
x5
C
x20
D
x100
30

Profit is the difference between revenue and cost. The revenue, in dollars, of a company that makes skateboards can be modeled by the polynomial 2x3 + 30x – 130. The cost, in dollars, of producing the skateboards can be modeled by 2x3 – 3x – 520. The variable x represents the number of skateboards sold.

A
27x – 650
B
27x + 390
C
33x – 650
D
33x + 390
31

Which statement is true about the polynomial –3x4y3 + 8xy5 – 3 + 18x3y4 – 3xy5 after it has been fully simplified?

A
It has 3 terms and a degree of 5.
B
It has 3 terms and a degree of 7.
C
It has 4 terms and a degree of 5.
D
It has 4 terms and a degree of 7.
32

Armando used algebra tiles to represent the product .

Question illustration
A
He used the algebra tiles correctly.
B
He did not represent the two original factors correctly.
C
The signs on some of the products are incorrect.
D
Some of the products do not show the correct powers of x.
33

Which statement is true about the polynomial –10m4n3 + 8m2n6 + 3m4n3 – 2m2n6 – 6m2n6 after it has been fully simplified?

A
It is a monomial with a degree of 4.
B
It is a monomial with a degree of 7.
C
It is a binomial with a degree of 6.
D
It is a binomial with a degree of 8.
34

Sari is factoring the polynomial 2x2+5x+3. If one factor is (x+1), what is the other factor?

A
2x−3
B
2x+3
C
3x−2
D
3x+2
35

What is the greatest common factor of 8m, 36m3, and 12?

A
4
B
8
C
4m
D
8m
36

Which is true about the polynomial y2 – 3y + 12?

A
It is a binomial with a degree of 2.
B
It is a binomial with a degree of 3.
C
It is a trinomial with a degree of 2.
D
It is a trinomial with a degree of 3.
37

Which terms could be used as the last term of the expression below to create a polynomial written in standard form? Select three options.–5x2y4 + 9x3y3 +

Question illustration
A
x5
B
y5
C
–4x4y5
D
6x4y
E
–xy5
F
–
Option F
38

What is the polynomial 3y2 + (y + 7)2 – 15 after it has been fully simplified and written in standard form?

A
4y2 + 34
B
3y2 + y + 34
C
4y2 + 14y + 34
D
4y4 + 34
39

Which is equivalent to , and what type of special product is it?

Question illustration
A
; a perfect square trinomial
Option A
B
; the difference of squares
Option B
C
; a perfect square trinomial
Option C
D
; the difference of squares
Option D
40

What is the greatest common factor of 4xy2 and 20x2y4?

A
4xy
B
4xy2
C
24xy
D
24xy2

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