Solving Polynomial Equations using Technology

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

1

Question 2

[___], [___], [___]

Revolt · Accepted Answer

⇒ -4: -3, -2, 4; ⇒ -0.5: -2, 3, 4; ⇒ 1: 2, 3, 5; -4, -0.5, 1

Question 3

[___], [___], [___]

Revolt · Accepted Answer

-0.5

Question 4

[___], [___], [___]

Revolt · Accepted Answer

1

Question 5

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

Revolt · Accepted Answer

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

Question 6

From least to greatest, what are the roots of the polynomial equation?

Revolt · Accepted Answer

Use the graphing calculator to graph the system. The solutions to the system are . Since the side lengths of a triangle must be positive, the length of one leg of the sun shade is feet.: -11.3 or 11.3; Use the graphing calculator to graph the system. The solutions to the system are . Since the side lengths of a triangle must be positive, the length of one leg of the sun shade is feet.: 11.3

Question 7

Question 8

Revolt · Accepted Answer

-2; 0

Question 8

and

Revolt · Accepted Answer

Part 1: A; Part 2: A

Question 9

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 10

Use the graphing calculator to graph the system. The solutions to the system are [___]. Since the side lengths of a triangle must be positive, the length of one leg of the sun shade is [___] feet.

Revolt · Accepted Answer

-11.3 or 11.3; Selection 1: -11.3 or 11.3; Selection 2: 11.3

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