Answers PBCSD_Grade_Forgiveness_1200330_Algebra 2_S1_2024Solving Polynomial Equations using Technology

Solving Polynomial Equations using Technology Answers

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

1 rational root and 2 complex roots

1 rational root and 2 irrational roots

3 irrational roots

3 rational roots

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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.

4.417 inches

5.252 inches

7.428 inches

20.505 inches

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

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

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

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

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

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

y-intercepts of the graph

x-intercepts of the graph

y-coordinates of the intersection points

x-coordinates of the intersection points

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

3 x cubed minus 7 x squared + 5 = 0

3 x cubed minus 7 x squared + 5 = 7 x Superscript 4 Baseline + 2 x

7 x Superscript 4 Baseline + 2 x = 0

7 x Superscript 4 Baseline + 3 x cubed minus 7 x squared + 2 x + 5 = 0

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.

–26, –9.81, 1.94

–26

–2

–2, 0.11, 4.39

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

–3

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

–3, –5

–2.24, –2, 2.24

–2.24, 2, 2.24

3, 5

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

StartLayout Enlarged left-brace 1st row y = negative 4 x squared 2nd row y = x cubed + 2 x EndLayout

StartLayout Enlarged left-brace 1st row y = x cubed + 4 x squared + 2 x 2nd row y = 0 EndLayout

StartLayout Enlarged left-brace 1st row y = 4 x squared 2nd row y = negative x cubed minus 2 x EndLayout

StartLayout Enlarged left-brace 1st row 4 x squared 2nd row y = x cubed + 2 x EndLayout

Josh graphs a system of equations to determine the roots of the polynomial equation . From the graph, he determines that there are two solutions to the equation. Which statement is true?

He is correct because the graph shows two intersection points.

He is correct because the least exponent of the system is two so there must be two solutions.

He is not correct because the greatest exponent of the system is five so there must be five solutions, three of which must be multiplicities or complex.

He is not correct because the difference of the exponents is three, so there must be three solutions, one of which is a multiplicity.

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Solving Polynomial Equations using Technology Answers

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