Today, at least three times essentially the same question about ideals in a polynomial ring $R[x]$ has been asked by three different users (first instance is the initial steps); same notation, even.
This seems too much of a coincidence. Could this be someone’s exam? Are the three accounts from a similar geographic region?
Third instance was deleted by the author about 15 minutes after I posted this question. If you have high enough reputation it should be visible.
One of the users has admitted that this is part of “an assignment”.