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Which elements of R[x] can be factored non-trivially? What about elements of Z? Non-trivial factorization is...

Which elements of R[x] can be factored non-trivially? What about elements of Z?

Non-trivial factorization is defined such that, if x, y, z are non zero elements of some ring, x = yz is a non trivial factorization of x if neither y nor z is a unit in the Ring.

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