Polynomials p(x) and q(x) are given by relationship q(x)=p(x)(x^5-2x+2).

a) If x-2 is a factor of p(x)-5 , find the remainder when q(x) is divided by x-2.

b) If p(x) is of the form x^2+ax+b and x-1 is a factor of p(x)-5, find the values of a and b.

Can you help me?