- Count the number of solutions to the equation in two-dimensional projective space working in the field with p elements, assuming p>3. Use the procedure described in class to convert to a homogeneous polynomial to find the solutions at infinity.
- problem 10.2 of MNT
- problem 10.3 of MNT
- problem 10.7 of MNT
- compute the trace of every element of the field , where .