let A be a UFD and K its field of fractions. and where is a monic polynomial. Prove that if f has a root , then in fact
I need some guidance with the proof.
and we observe that *since all the terms on the rhs are multiples of d
but how do we know that ??? from what do we conclude that??
And later in the proof it says '' hence c,d are relatively prime we get that how do we deduce the last part as well?
based on what do we conclude that ?
Any help appreciated!