(1 point) This question concerns the field GF(16). The modulus is P(x) = x + x + 1. Please answer the following questions about arithmetic in this field. a) If p(x) = x + 1 and q(x) = x, what is p(x) + q(x) modulo P? b) If p(x) = x and q(x) = x + x + x, what is p(x) + q(x) modulo P? c) If p(x) = x + x and q(x) = x + x + x + 1, what is p(x) q(x) modulo P? d) If p(x) = x + x + 1 and q(x) = x + x, what is p(x) q(x) modulo P?