Polynomial Quiz
Due: Friday, October 6, 1995
Answer the following questions for the polynomial function assigned to you. A copy of the polynomial functions follows the questions.
- List all possible combinations of total, positive, negative, and complex solutions to f (x) = 0.
(5 points)
- List all possible rational solutions to f (x) = 0. (5 points)
- Find all solutions to f (x) = 0. (5 points)
- Completely factor f (x) using linear complex factors. (3 points)
- Completely factor f (x) using linear and irreducible quadratic real factors.
(2 points)
- Sketch the graph of y = f (x). (5 points)
Hints:
- At least one root is irrational.
- At least one root is repeated.
- At least one of the rational roots is not an integer.
- At least one of the integer roots is negative.
