Polynomial Quiz

Due: Tuesday, February 27, 1996

Answer the following questions for the polynomial function assigned to you. A copy of the polynomial functions follows the questions.

  1. Give the total number of real or complex roots to f(x). (2 pts)
  2. List all possible combinations of the number of total, positive, negative, and complex solutions to f (x) = 0. (3 points)
  3. List all possible rational solutions to f (x) = 0. (3 points)
  4. Find all solutions to f (x) = 0. (4 points)
  5. Completely factor f (x) using linear complex factors. (2 points)
  6. Completely factor f (x) using linear and irreducible quadratic real factors. (2 points)
  7. Sketch the graph of y = f (x). (4 points)


Hints: