Solving Polynomial Equations using Technology

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?

2nd answer

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?

3

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. -6 0 6 -4 3 8

6, -4, 3

What are the approximate values of the non-integral roots of the polynomial equation? -5.57 -1.95 0.21 1.27 4.73

1.27 4.73

Use a graphing calculator and a system of equations to find the roots of the equation. x4 − 4x3 = 6x2 − 12x From least to greatest, what are the integral roots of the equation?

-2, 0

Use the graphing calculator to graph the system. The solutions to the system are -5.7 or 5.7-8 or 8-11.3 or 11.3-32 or 32. Since the side lengths of a triangle must be positive, the length of one leg of the sun shade is 5.7811.332 feet.

-11.3- 11.3 11.3

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

-4, -0.5, 1

The following system of equations can be used to find the roots of the equationx3 + 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?

1

Which system of equations can you use to find the roots of the equation 2x3 + 4x2 - x + 5 = -3x2 + 4x + 9? y = 2x3 + x2 + 3x +5 y =9 y = 2x3 + x2 y = 3x + 14 y = 2x3 + 4x2 - x + 5 y = -3x2 + 4x + 9

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