AnswersPBCSD_Grade_Forgiveness_1200330_Algebra 2_S1_2024Solving Polynomial Equations using Technology

Solving Polynomial Equations using Technology Answers

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1
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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
2
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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.
3

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
4

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
5

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
6

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
7

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
8

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
9

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

Question illustration
A
3 x Superscript 5 Baseline minus 5 x cubed + 2 x squared minus 10 x + 4 = 0
Option A
B
3 x Superscript 5 Baseline minus 5 x cubed + 2 x squared minus 10 x + 4 = 4 x Superscript 4 Baseline + 6 x cubed minus 11
Option B
C
3 x Superscript 5 Baseline + 4 x Superscript 4 Baseline + x cubed + 2 x squared minus 10 x minus 7 = 0
Option C
D
4 x Superscript 4 Baseline + 6 x cubed minus 11 = 0
Option D
10

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

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