$p(1) = 1 - 5 + 6 = 2$; $p(4) = 16 - 20 + 6 = 2$. So $p(1) + p(4) = 2 + 2 = \mathbf{4}$. Answer: B
Substitute x = 1 and x = 4 directly into the polynomial and add the results. Note that 2 and 3 are the zeroes of this polynomial (not 1 or 4), so neither value is zero — students must compute carefully and not guess.