How could you use Descartes' Rule and the Fundamental Theorem of Algebra to predict the number of complex roots to a polynomial, as well as find the number of possible positive and negative real roots to a polynomial?

• A summary of Descartes' Rule and the Fundamental Theorem of Algebra.
• Two examples of the process
  • Provide two polynomials and predict the number of complex roots for each.
  • explain how the number of complex roots for each was found.

if someone could help me with this homework problem it would be much appreciated thank you!