1. The problem statement, all variables and given/known data In F17, 2 is a primitive 8th root of unity. Evaluate f(x) = 7x3+8x2+3x+5 at the eight powers of 2 in F17. Verify that the method requires at most 16 multiplications in F17. 2. Relevant equations You can can more clearly see the theorem on page 376-378 and the problem is on page 382 #6: http://igortitara.files.wordpress.com/2010/04/a-concrete-introduction-to-higher-algebra1.pdf 3. The attempt at a solution I was able to find that the d=3, but am unclear on how I evaluate f(x) based of Theorem 3.