Quadratic in Form Polynomials

Question 1

The following system of equations can be used to find the roots of the equation x3 + 72 = 5x2 + 18x.y = x3 + 72y = 5x2 + 18xGraph this system of equations on the graphing calculator.How many intersection points can you see in the default viewing window? 123

Revolt · Accepted Answer

A: 1

Question 2

[___], [___], [___]

Revolt · Accepted Answer

-4, -0.5, 1

Question 3

Which system of equations can you use to find the roots of the equation 2x3 + 4x2 – x + 5 = –3x2 + 4x + 9?

Revolt · Accepted Answer

C: y = 2x3 + 4x2 – x + 5 y = –3x2 + 4x + 9

Question 4

and

Revolt · Accepted Answer

Part 1: A; Part 2: A

Question 5

A rectangular sheet of metal has identical squares cut from each corner. The sheet is then bent along the dotted lines to form an open box. The volume of the box is 420 in.3.The equation 4x3 – 72x2 + 320x = 420 can be used to find x, the side length of the square cut from each corner.What is the side length of the square that is cut from each corner, to the nearest inch? in.

Revolt · Accepted Answer

3

Question 6

Explain why the graphing calculator cannot be used to solve or approximate solutions to all polynomial equations.

Revolt · Accepted Answer

A graphing calculator cannot solve or approximate every polynomial equation because some polynomial equations have complex, nonreal solutions. Graphs in the real Cartesian x-y plane show only real solutions, so complex solutions cannot be found as x-intercepts or intersections; equations with only complex solutions have no x-intercepts.

Question 7

Sun shades are sold in the shape of right isosceles triangles. If the equation represents one shade that shields 64 square feet of area, which system can be used to find the lengths of the legs of the sun shade?

Revolt · Accepted Answer

AssessCtrl0ddb4d84-7822-4fa5-9142-3e63cd091377_1_B,AssessCtrl0ddb4d84-7822-4fa5-9142-3e63cd091377_1_C

Question 8

The following system of equations can be used to find the roots of the equation x3 + 72 = 5x2 + 18x.y = x3 + 72y = 5x2 + 18xGraph this system of equations on the graphing calculator.How many intersection points can you see in the default viewing window?

Revolt · Accepted Answer

A: 1

Question 9

Which system of equations can you use to find the roots of the equation 2x3 + 4x2 – x + 5 = –3x2 + 4x + 9?

Revolt · Accepted Answer

C: y = 2x3 + 4x2 – x + 5 y = –3x2 + 4x + 9

Question 10

Adjust the window so you can find all of the points of intersection for the system of equations.What are the roots of the original polynomial equation? Check all that apply.

Revolt · Accepted Answer

AssessCtrle91bdeed-4925-4761-a146-8829defa69f3_1_C,AssessCtrle91bdeed-4925-4761-a146-8829defa69f3_1_D,AssessCtrle91bdeed-4925-4761-a146-8829defa69f3_1_E

Quadratic in Form Polynomials Answers

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