Unit Test — Cumulative exam Answers

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The polynomial 8x2 – 8x + 2 – 5 + x is simplified to 8x2 – gx – h. What are the value of g and h?

A
g = –9 and h = 7
B
g = 9 and h = –3
C
g = –7 and h = 7
D
g = 7 and h = 3
22
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Marisol grouped the terms and factored the GCF out of the groups of the polynomial 6x3 – 22x2 – 9x + 33. Her work is shown.Step 1: (6x3 – 22x2) – (9x + 33)Step 2: 2x2(3x – 11) – 3(3x + 11)

A
Marisol should realize that her work shows that the polynomial is prime.
B
Marisol should go back and group the terms in Step 1 as (6x3 – 22x2) – (9x – 33).
C
Marisol should go back and group the terms in Step 1 as (6x3 – 22x2) + (9x – 33).
D
Marisol should refactor the expression in Step 2 as 2x2(3x + 11) – 3(3x + 11).
23

Which equation, when graphed, has x-intercepts at (8, 0) and (−2, 0) and a y-intercept at (0, −48)?

A
f(x) = −3(x − 8)(x + 2)
B
f(x) = −3(x + 8)(x − 2)
C
f(x) = 3(x − 8)(x + 2)
D
f(x) = 3(x + 8)(x − 2)
24

Which product of prime polynomials is equivalent to 4x5 – 6x4 + 4x3 – 6x2?

A
2x2(x2 + 1)(2x – 3)
B
2x2(x2 – 1)(2x + 3)
C
x2(x2 + 1)(2x – 3)
D
2(x2 – 1)(2x + 3)
25

Which statements about the function are true? Select three options.

A
The vertex of the function is at (–4,–15).
B
The vertex of the function is at (–3,–16).
C
The graph is increasing on the interval x > –3.
D
The graph is positive only on the intervals where x 1.
E
The graph is negative on the interval x < –4.

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