If you have idea about the questions that I posted lastly , please do help.
I found the quadratic field chapter is very difficult. Even I read finished the book but still got stuck in the questions most of the time.
Prove unique factorization for the set of polynomials in x, with integer coefficients.
Hint: The analogous Euclidean algorithm works for such polynomials,
using " degree" instead of " norm" . Prove this and then apply similar arguments to show unique factorization.