AnswersFall 24 GMS Algebra Concepts and Connections AFactoring Polynomials: Sum and Difference of Cubes

Factoring Polynomials: Sum and Difference of Cubes — Cumulative exam Answers

2 verified answers
41
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Which graph shows the solution to the system of linear inequalities?2x – 3y <12y < –3

A
Option
B
Option
C
Option
D
Option
42
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Shenika factored the polynomial completely. What is the value of A?5x3+35x2+6x+42(5x2+A)(x+B)

A
1
B
5
C
6
D
7
43

Marlena created a table of values representing the height in feet, h(t), of a coconut falling to the hard ground with a height of 0 feet, collected over t seconds. Assume the coconut does not bounce and rests on the ground when it lands.

Question illustration
A
The initial height of the coconut is 190 feet.
B
The coconut will hit the ground between 4 and 5 seconds after it was dropped.
C
The values of h(t) when t = 4 and 5 should be 0.
D
The maximum height of the coconut was 1 second after it was dropped.
44

What is the coefficient of x after simplifying (−x−5)2?

A
−25
B
−10
C
10
D
25
45

A 2-column table with 8 rows. The first column is labeled t with entries negative 4, negative 3, negative 2, negative 1, 0, 1, 2, 3. The second column is labeled f of x with entries negative 54, negative 20, negative 4, 0, negative 2, negative 4, 0, 16.

Question illustration
A
(–4, 1)
B
(–4, –1)
C
(–1,1)
D
(–1, 2)
46

What is the product?

Question illustration
A
24 a squared minus 6 b
Option A
B
24 a squared minus 6 a b
Option B
C
24 a squared minus 18 b squared
Option C
D
24 a squared minus 18 a b
Option D
47

Which is the graph of linear inequality x – 2y ≥ –12?

A
Option
B
Option
C
Option
D
Option
48

What are the domain and range of the function ?

Question illustration
A
domain: range:
Option A
B
domain: range:
Option B
C
domain:range:
Option C
D
domain: range:
Option D
49

A tree company charges a delivery fee for each tree purchased in addition to the cost of the tree. The delivery fee decreases as the number of trees purchased increases. The table below represents the total cost of x trees purchased, including delivery fees.

Question illustration
A
The rate of change between 1 and 2 trees is different than the rate of change between 2 and 3 trees.
B
The rate of change between 1 and 2 trees is different than the rate of change between 1 and 3 trees.
C
The rate of change between 2 and 3 trees is different than the rate of change between 3 and 4 trees.
D
The rate of change between 2 and 3 trees is different than the rate of change between 3 and 5 trees.
50

Which represents the polynomial written in standard form?4m – 2m4 – 6m2 + 9

A
9 + 4m + 2m4 – 6m2
B
2m4 – 6m2 – 4m + 9
C
9 – 6m2 + 4m – 2m4
D
–2m4 – 6m2 + 4m + 9

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