Consider the ring homomorphism #Phi:ZZ[x]>ZZ/(⟨3⟩):Phi(sum_{i=0}^n a_i x^i)=bar(a_0)#. Show that #KerPhi=⟨x,3⟩#. What does the Fundamental Theorem of Homomorphism say in this case?
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@swativ Swati V. asked the question.

@1s2s2p 1s2s2p Formatted the question as much as possible

@swativ Swati V. Right Sir.

@swativ Swati V. Someone help me please in solving this question.

@douglask Douglas K. @Swati V. I wish that I could help. I have been watching videos and reading books on the subject for many hours but I do not feel that I know enough to give you an answer. Sorry.

@swativ Swati V. Thank you Sir and it's ok.

@1s2s2p 1s2s2p I would also recommend asking here: https://www.physicsforums.com/(they do math as well) and https://math.stackexchange.com/ if you can't get an answer here.

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