- 1.
- Let
be a polynomial. How many elements are there
in the residue class
of
modulo
with degree
**less**than ? - 2.
- Explain why we can view each element of as a vector of coordinates in .

- 3.
- Assume first that . Explain why such a polynomial exists and is unique.
- 4.
- Now, assume that where is a non-constant polynomial. Indicate briefly a strategy for solving our problem in this case.
- 5.
- Solve our problem for the particular , and .

2008-01-31