$R[x]$ has a subring isomorphic to $R$.

Say $R$ is a commutative ring. Does there exists a subring of $R[x]$ that is isomorphic to $R$?

My approach would be to define the subring of $R[x]$ that generates $R$. Any thoughts?

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Constant polynomials. – Brian M. Scott Nov 17 '12 at 10:23

The ring of constant polynomials in $R[x]$ is isomorphic to $R$
Hint  The evaluation hom $\rm\:f(x)\to f(0)\:$ is $1$-$1$, onto, restricted to polynomials of degree zero.