Show $R[x]/(x)\cong R$ Let $R$ be a commutative ring. Prove that $R[x]/(x)$ is isomorphic to $R$.  Should I use the first isomorphism theorem for rings?  Can someone give me a hint on how to approach this problem? Also how would I use the first isomorphism theorem to prove this? I know that the theorem says $R /\ker f$ is isomorphic to image of $f$.  

Find $f$ such that $Ker(f)$ is $(x)$ and $Im(f)=R$.
