Solving Polynomial Equations using Technology

Question 1

Compare the two methods that you learned for finding or approximating solutions to polynomial equations. What are the pros and/or cons of each? Explain.

Revolt · Accepted Answer

Factoring can give exact solutions when a polynomial factors easily, but finding the factors can be difficult. Graphing is useful for estimating real solutions when factoring is difficult, but the answers may be approximate, and a graph does not show complex solutions.

Question 2

Select any of the following you included in your explanation.

Revolt · Accepted Answer

Graphing the related system means that you do not have to rewrite the equation to set it equal to 0. It is easier because you can just graph each side of the equation.; Sometimes it is difficult to locate the intersection point for the system. You might have to zoom in a lot or figure out how to resize the window. Using the related function lets you focus on the x-axis to find the points.

Question 3

-5.7 or 5.7-8 or 8✔ -11.3 or 11.3-32 or 32

Revolt · Accepted Answer

✔ -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 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 4

Question 27

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 5

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

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Question 6

5.78✔ 11.332

Revolt · Accepted Answer

✔ 11.3

Solving Polynomial Equations using Technology Answers

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