AnswersKY-Algebra II CRUnit Test

Solving Polynomial Equations using Technology Answers

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What are the roots of the polynomial equation ? Use a graphing calculator and a system of equations.

Question illustration
A
–40, –4, 5
B
–5, 4, 40
C
–4, –1, 2
D
–2, 1, 4
2
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Arlana graphed the system of equations that can be used to solve . What are the roots of the polynomial equation? Round noninteger roots to the nearest hundredth.

Question illustration
A
–26, –9.81, 1.94
B
–26
C
–2
D
–2, 0.11, 4.39
3

Which equation can be solved by using this system of equations?

Question illustration
A
3 x cubed minus 7 x squared + 5 = 0
Option A
B
3 x cubed minus 7 x squared + 5 = 7 x Superscript 4 Baseline + 2 x
Option B
C
7 x Superscript 4 Baseline + 2 x = 0
Option C
D
7 x Superscript 4 Baseline + 3 x cubed minus 7 x squared + 2 x + 5 = 0
Option D
4

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

Question illustration
A
–64, 0
B
–2, 2
C
–1, 1
D
0, 64
5

A party-favor bag must have a volume of 140 cubic inches and the dimensions that are shown below. The equation can be used to find x. What are the dimensions of the party-favor bag? Use a graphing calculator and a system of equations to find the answer.

Question illustration
A
The length is 7 inches, the width is 4 inches, and the height is 16 inches.
B
The length is 5 inches, the width is 2 inches, and the height is 14 inches.
C
The length is 4 inches, the width is 1 inch, and the height is 13 inches.
D
The length is 3 inches, the width is 0 inches, and the height is 12 inches.
6

What are the roots of the polynomial equation ? Use a graphing calculator and a system of equations. Round noninteger roots to the nearest hundredth.

Question illustration
A
–12, 20
B
–2.73, 2, 2.73
C
–1.73, 1.73, 2
D
–20, 12
7

The graph shows the system of equations that can be used to solve .Which statement describes the roots of this equation?

Question illustration
A
1 rational root and 2 complex roots
B
1 rational root and 2 irrational roots
C
3 irrational roots
D
3 rational roots
8

Which system of equations can be used to find the roots of the equation ?

Question illustration
A
StartLayout Enlarged left-brace 1st Row y = 12 x cubed minus 5 x 2nd row y = 2 x squared + x + 6 EndLayout
Option A
B
StartLayout Enlarged left-brace 1st Row y = 12 x cubed minus 5 x + 6 2nd row y = 2 x squared + x EndLayout
Option B
C
StartLayout Enlarged left-brace 1st Row y = 12 x cubed + 2 x squared minus 4 x 2nd row y = 6 EndLayout
Option C
D
StartLayout Enlarged left-brace 1st Row y = 12 x cubed + 2 x squared minus 4 x + 6 2nd row y = 0 EndLayout
Option D
9

What is the root of the polynomial equation ? Use a graphing calculator and a system of equations.

Question illustration
A
–3
B
0
C
2
D
3
10

What are the roots of the polynomial equation ? Use a graphing calculator and a system of equations. Round noninteger roots to the nearest hundredth.

Question illustration
A
–3, –5
B
–2.24, –2, 2.24
C
–2.24, 2, 2.24
D
3, 5

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