hi, i think this one is a bit trickier.

for an odd prime number "p", let $\displaystyle F_p$ be the field with "p" elements. i.e. the integers {0,....p-1} with addition and multiplication defined modulo "p".

So how many quadratic forms are there on the vector space $\displaystyle F^n_p$ and why?

any clues here please?