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Solving Polynomial Equations using Technology Answers

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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
2
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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
3

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
4

The aspect ratio is used when calculating the aerodynamic efficiency of the wing of a plane. For a standard wing area, the function can be used to find the aspect ratio depending on the wingspan in feet. If one glider has an aspect ratio of 5.7, which system of equations and solution can be used to represent the wingspan of the glider? Round solution to the nearest tenth if necessary.

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

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
7

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
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 = 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
9

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
10

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

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