Polynomial Solver Project (PreCal PreAP)




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.

(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 nth-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?

    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.