AnswersDSD-CR-Secondary Math III-Term 2Cumulative Exam

Cumulative Exam — Cumulative exam Answers

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Which expression is equivalent to ?

Question illustration
A
StartFraction 2 (a + 1) squared Over a cubed EndFraction
Option A
B
6a
C
2a
D
StartFraction 6 a squared Over a + 1 EndFraction
Option D
2
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The polynomial function f(x) is a fourth degree polynomial. Which of the following could be the complete list of the roots of f(x)?

A
3, 4, 5, 6
B
3, 4, 5, 6i
C
3, 4, ,
Option C
D
3, 4, 5 + i, –5 + i
3

The polynomial equation has complex roots . What is the other root? Use a graphing calculator and a system of equations.

Question illustration
A
–9
B
–1
C
0
D
1
4

What is the quotient?

Question illustration
A
(t + 3) squared
Option A
B
(t + 4) squared
Option B
C
StartFraction 1 Over (t + 4) squared EndFraction
Option C
D
StartFraction 1 Over (t + 3) squared EndFraction
Option D
5

Which of the following graphs could be the graph of the function f(x) = x3 + 8?

A
mc019-1.jpg
Option A
B
mc019-2.jpg
Option B
C
mc019-3.jpg
Option C
D
mc019-4.jpg
Option D
6

Which expression is equivalent to ? Assume .

Question illustration
A
–50x8y18
B
–2x8y18
C
–2x12y72
D
5x8y18
7

Which expression is equivalent to ?

Question illustration
A
mc019-2.jpg
Option A
B
mc019-3.jpg
Option B
C
mc019-4.jpg
Option C
D
mc019-5.jpg
Option D
8

Which expression is equivalent to ?

Question illustration
A
–4b – 2
B
4b + 2
C
mc011-2.jpg
Option C
D
mc011-3.jpg
Option D
9

What must be a factor of the polynomial function f(x) graphed on the coordinate plane below?

Question illustration
A
x – 4
B
x – 2
C
x + 2
D
x + 4
10

Use synthetic division to solve . What is the quotient?

Question illustration
A
x squared + 4 x + 3
Option A
B
x squared minus 6 x + 13 minus StartFraction 80 Over x minus 5 EndFraction
Option B
C
x cubed + 4 x squared + 3 x
Option C
D
x squared minus 6 x + 13 minus StartFraction 80 Over x + 5 EndFraction
Option D
11

What are the solutions of the equation 9x4 – 2x2 – 7 = 0? Use u substitution to solve.

A
and x = ±1
Option A
B
and x = ±i
Option B
C
and x = ±1
Option C
D
and x = ±i
Option D
12

According to the Rational Root Theorem, is a potential rational root of which function?

Question illustration
A
f(x) = 4x4 – 7x2 + x + 25
B
f(x) = 9x4 – 7x2 + x + 10
C
f(x) = 10x4 – 7x2 + x + 9
D
f(x) = 25x4 – 7x2 + x + 4
13

What is the difference?

Question illustration
A
StartFraction x squared + 4 x minus 1 Over x (x + 2) EndFraction
Option A
B
StartFraction x squared + 4 x + 1 Over x (x + 2) EndFraction
Option B
C
StartFraction 4 Over negative 1 (x squared + x minus 2) EndFraction
Option C
D
StartFraction x squared + 6 x + 1 Over x (x + 2) EndFraction
Option D
14

Which equation could be used to calculate the sum of the geometric series?

Question illustration
A
S 5 = StartFraction one-third (1 minus (two-thirds) Superscript 5 Baseline) Over (1 minus two-thirds) EndFraction
Option A
B
S 5 = StartFraction two-thirds (1 minus (one-third) Superscript 5 Baseline) Over (1 minus one-third) EndFraction
Option B
C
S = StartFraction one-third Over (1 minus two-thirds) EndFraction
Option C
D
S = StartFraction two-thirds Over (1 minus one-third) EndFraction
Option D
15

If a polynomial function f(x) has roots and –6, what must be a factor of f(x)?

Question illustration
A
(x + ( )
Option A
B
(x – ())
Option B
C
(x + ())
Option C
D
(x – ())
Option D
16

The graph of f(x) = 4x3 – 13x2 + 9x + 2 is shown below. How many roots of f(x) are rational numbers?

Question illustration
A
0
B
1
C
2
D
3
17

Which of the following describes the zeroes of the graph of f(x) = –x5 + 9x4 – 18x3?

A
0 with multiplicity 3, –3 with multiplicity 2, and –2 with multiplicity 1
B
0 with multiplicity 3, 3 with multiplicity 1, and 6 with multiplicity 1
C
0 with multiplicity 3, 3 with multiplicity 2, and 2 with multiplicity 1
D
0 with multiplicity 3, –3 with multiplicity 1, and –6 with multiplicity 1
18

Which expression is equivalent to the following complex fraction?

Question illustration
A
StartFraction (y + 1) (y minus 1) Over y squared EndFraction
Option A
B
StartFraction y + 1 Over y minus 1 EndFraction
Option B
C
StartFraction y minus 1 Over y + 1 EndFraction
Option C
D
StartFraction y squared Over (y + 1) (y minus 1) EndFraction
Option D
19

What substitution should be used to rewrite x8 – 3x4 + 2 = 0 as a quadratic equation?

A
u = x2
B
u = x4
C
u = x8
D
u = x16
20

Sandra graphed the system of equations that can be used to solve . What are the roots of the polynomial equation?

Question illustration
A
–12, 12
B
–4, 3
C
–3, 4
D
–1, 1

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