short answers only please!

(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+1 and q(x)=x3+x2, what is p(x)+q(x) modulo P ? b) If p(x)=0 and q(x)=x2+x+1, what is p(x)+q(x) modulo P ? c) If p(x)=x3+x+1 and q(x)=x, what is p(x)q(x) modulo P ? d) If p(x)=x3+x2 and q(x)=x2+1, what is p(x)q(x) modulo P