Answers BCHS - Common Core Math III ASolving Polynomial Equations using Technology

Solving Polynomial Equations using Technology Answers

0 verified answers

Free Preview

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

Free Preview

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.

and ; inches

and ; inches

and ; inches

and ; inches

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

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

–40, –4, 5

–5, 4, 40

–4, –1, 2

–2, 1, 4

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

StartLayout Enlarged left-brace 1st Row y = 12 x cubed minus 5 x 2nd row y = 2 x squared + x + 6 EndLayout

StartLayout Enlarged left-brace 1st Row y = 12 x cubed minus 5 x + 6 2nd row y = 2 x squared + x EndLayout

StartLayout Enlarged left-brace 1st Row y = 12 x cubed + 2 x squared minus 4 x 2nd row y = 6 EndLayout

StartLayout Enlarged left-brace 1st Row y = 12 x cubed + 2 x squared minus 4 x + 6 2nd row y = 0 EndLayout

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

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

3 x Superscript 5 Baseline minus 5 x cubed + 2 x squared minus 10 x + 4 = 0

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

3 x Superscript 5 Baseline + 4 x Superscript 4 Baseline + x cubed + 2 x squared minus 10 x minus 7 = 0

4 x Superscript 4 Baseline + 6 x cubed minus 11 = 0

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

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

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.

Did you find these answers helpful?

Solving Polynomial Equations using Technology Answers

More from this Course

TRY EDGENUITY HACKS