Cumulative Exam — Cumulative exam Answers

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If –3 + i is a root of the polynomial function f(x), which of the following must also be a root of f(x)?

A
–3 – i
B
–3i
C
3 – i
D
3i
42
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According to the Rational Root Theorem, the following are potential roots of f(x) = 60x2 – 57x – 18., , 3, 6Which is an actual root of f(x)?

Question illustration
A
Negative six-fifths
Option A
B
Negative one-fourths
Option B
C
3
D
6
43

A high-interest savings account pays 5.5% interest compounded annually. If $300 is deposited initially and again at the first of each year, which summation represents the money in the account 10 years after the initial deposit?

A
Sigma-Summation Underscript n = 1 Overscript 10 EndScripts 300 (0.055) Superscript n minus 1
Option A
B
Sigma-Summation Underscript n = 1 Overscript 10 EndScripts 305.5 (1.055) Superscript n minus 1
Option B
C
Sigma-Summation Underscript n = 1 Overscript 10 EndScripts 316.5 (0.055) Superscript n minus 1
Option C
D
Sigma-Summation Underscript n = 1 Overscript 10 EndScripts 316.5 (1.055) Superscript n minus 1
Option D
44

What is the quotient?

Question illustration
A
StartFraction 24 Over (m + 2) squared EndFraction
Option A
B
StartFraction (m + 2) squared Over 24 EndFraction
Option B
C
Two-thirds
Option C
D
Three-halves
Option D
45

What substitution should be used to rewrite 16(x3 + 1)2 – 22(x3 + 1) – 3 = 0 as a quadratic equation?

A
u = (x3)
B
u = (x3 + 1)
C
u = (x3 + 1)2
D
u = (x3 + 1)3
46

Which expression is equivalent to ?

Question illustration
A
mc006-2.jpg
Option A
B
mc006-3.jpg
Option B
C
mc006-4.jpg
Option C
D
mc006-5.jpg
Option D
47

Which expression is equivalent to the following complex fraction?

Question illustration
A
StartFraction x minus 1 Over 2 x EndFraction
Option A
B
Negative one-half
Option B
C
StartFraction 2 x minus 2 Over x EndFraction
Option C
D
StartFraction 2 x Over x minus 1 EndFraction
Option D
48

Which expression is equivalent to ?

Question illustration
A
mc018-2.jpg
Option A
B
mc018-3.jpg
Option B
C
mc018-4.jpg
Option C
D
mc018-5.jpg
Option D
49

What is the sum?

Question illustration
A
StartFraction 3 x + 4 Over x cubed EndFraction
Option A
B
StartFraction 7 Over x EndFraction
Option B
C
StartFraction 3 x + 4 Over x squared EndFraction
Option C
D
StartFraction 7 Over x + x squared EndFraction
Option D
50

According to the Rational Root Theorem, what are all the potential rational roots of f(x) = 9x4 – 2x2 – 3x + 4?

A
, , , , , 1, , 2, 4
Option A
B
, , , 1, , , 3, , 9
Option B
C
, , , , , 1, , 2, 4
Option C
D
, , , 1, , , 3, , 9
Option D

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