The objective of this project is to use to solve a polynomial equation using algebra and trigonometry using a Microsoft PowerPoint presentation or Prezi Presentation.

Students will complete the project based on the individual or group assignments provided by the teacher.

*Individual and group assignments are now available:*

**[ Click Here ]**

***All students are responsible for submitting the project via email regardless if you are working alone or with a partner. If you are assigned a partner and unable to reach them, you must document in the submission email the attempts you done to get in contact with the partner.
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(25 points) Student A will solve the polynomial equation by algebraic methods. The student must address the following to find all the roots of the equation.

- The number of real roots and complex roots using the Fundamental Theorem of Algebra
- The number of real positive roots and real negative roots using Descartes’ Rule of Signs
- The complete factorization of the polynomial equation with linear or irreducible factors using the Factor Theorem
- The real and complex roots of the polynomial equation using factoring and the Quadratic Formula

(25 points) Student B will solve the polynomial equation by using trigonometry. The student must address the following to find all the roots of the equation.

- The number of real roots and complex roots using the Fundamental Theorem of Algebra
- The trigonometric form of the real or complex number from the polynomial equation where
**θ**is written in radians - The real and complex roots of the polynomial equation using the n
^{th}-roots of a complex number formula. - The complete factorization of the polynomial equation using the roots.

(50 points) Both students must collaborate and compile a complete Microsoft PowerPoint presentation or Prezi presentation. Your presentation must include the following:

- Name of each student, Class Period / Day
- Polynomial equation solved using algebra with work shown by Student A.
- Polynomial equation solved using trigonometry with work shown by Student B.
- A brief discussion about the project addressing the following questions.
- How many possible real and complex roots does the polynomial equation have?

- Before solving the equation, how would you describe the nature of each real root?
- How are the methods similar and different from each other?

- Which method was better to use to solve the polynomial equation? Why?

- How many possible real and complex roots does the polynomial equation have?

*Due Date:** Submitted 4 / 17 / 2020 before 11:30pm via email to brian.becksmith@desotoisd.org if you are in Per. 3A, 6B, 7B or sonja.head@desotoisd.org if you are in Per. 1A with both students names and class period in the body of the email. *