AnswersPBCSD_Grade_Forgiveness_1200330_Algebra 2_S1_2024Solving Polynomial Equations using Technology

Solving Polynomial Equations using Technology Answers

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A parabolic listening device is shaped such that the depth of the bowl depends on its radius and can be represented by the curve D(r) = 0.145r2. What is the radius when the depth is 8 inches? Round to the nearest thousandth of an inch.

A
4.417 inches
B
5.252 inches
C
7.428 inches
D
20.505 inches
2
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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
3

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
4

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
5

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
6

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

Question illustration
A
StartLayout Enlarged left-brace 1st Row y = negative 4 x Superscript 5 Baseline + 12 x Superscript 4 Baseline minus 6 x 2nd row y = 5 x cubed minus 2 x EndLayout
Option A
B
StartLayout Enlarged left-brace 1st Row y = 4 x Superscript 5 Baseline minus 12 x Superscript 4 Baseline + 5 x cubed + 4 x 2nd row y = 0 EndLayout
Option B
C
StartLayout Enlarged left-brace 1st row y = 4 x Superscript 5 Baseline minus 12 x Superscript 4 Baseline + 6x 2nd row y = negative 5 x cubed + 2 x EndLayout
Option C
D
StartLayout Enlarged left-brace 1st row y = 4 x Superscript 5 Baseline minus 12 x Superscript 4 Baseline + 6x 2nd row y = 5 x cubed minus 2 x EndLayout
Option D
7

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

Question illustration
A
StartLayout Enlarged left-brace 1st row y = negative 4 x squared 2nd row y = x cubed + 2 x EndLayout
Option A
B
StartLayout Enlarged left-brace 1st row y = x cubed + 4 x squared + 2 x 2nd row y = 0 EndLayout
Option B
C
StartLayout Enlarged left-brace 1st row y = 4 x squared 2nd row y = negative x cubed minus 2 x EndLayout
Option C
D
StartLayout Enlarged left-brace 1st row 4 x squared 2nd row y = x cubed + 2 x EndLayout
Option D
8

The graph of this system of equations is used to solve . What represents the solution set?

Question illustration
A
y-intercepts of the graph
B
x-intercepts of the graph
C
y-coordinates of the intersection points
D
x-coordinates of the intersection points
9

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

Question illustration
A
–3
B
–1
C
3
D
10
10

The mass of a cylinder made of barium with a height of 2 inches depends on the radius of the cylinder as defined by the function . Which system of equations and solution can be used to represent the radius if the mass of the cylinder is 11,000 grams? Round to the nearest hundredth of an inch.

Question illustration
A
and ; inches
Option A
B
and ; inches
Option B
C
and ; inches
Option C
D
and ; inches
Option D

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