Finding Elements of a Quotient Ring

Soccer4822
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Hello all, first time to the site and its very helpful! I wish I would have found it sooner.
I am stuck on quotient rings. Here is my question..

How do I find elements of a quotient ring?

It asks me to list all elements of a quotient ring.

Anybody have any ideas how i can find them? :confused:
 
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You'll have to state the question.
And by the way, I think these questions (that is, HW questions) should be asked several forums above.
 
In your quotient ring, all the elements look like p(x)+I. Now you know for a given element in the quotient ring, you can take many different p(x)'s as it's representative. Try to take the one with the smallest degree.

-I see you've edited while I was replying, so the above may look strange to others.
 

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