Sections 4.2-4.3 due 9/27

If we had common divisors of f(x) and g(x) that were monic and had the same degree, how do we tell which one is greater? Is it the one with the greater coefficients? (For example, what is the gcd if the two divisors are (x+1) and (x-1)? Or would it be the product of the two if those were the divisors?)

Most of these theorems are the same as the theorems for the integers. The ones that are specifically geared toward polynomials are about ir/reducibles and the degrees of reducibles.