Question

Let f(x), g(x), p(x)PF[x], with p(x) nonzero. Determine whether f(x)  g(x)
(mod p(x)).

f(x) = x4 + x2 + x + 1; g(x) = x4 + x3 + x2 + 1;
p(x) = x2 + x; in Z mod 2