Chapter 4: Problem 2 Previous Problem Problem List Next Problem (1 point) This question concerns the field GF(16). The modulus is P(x) = x4 + x + 1. = Please answer the following questions about arithmetic in this field. -1 a) If p(x) = x2 + x, what is p-1(x) modulo P? b) If p(x) = x3 + x + x, what is p-1(x) modulo P? -1 c) If p(x) = x + 1, what is p-(x) modulo P? -1 d) If p(x) = x2 + x + 1, what is p-'(x) modulo P? Hint: The inverse of each polynomial appears in another sub-part of the