B and C

(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. a) If p(x)=x3+x2+x+1, what is p1(x) modulo P ? b) If p(x)=x2+x, what is p1(x) modulo P ? c) If p(x)=x2+x+1, what is p1(x) modulo P ? d) If p(x)=x3, what is p1(x) modulo P ? Hint: The inverse of each polynomial appears in another sub-part of the