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Feb 22, 2011 at 19:44 comment added Pace Nielsen The problem with 2x-2 is it is not irreducible (you can factor a 2).
Feb 22, 2011 at 19:32 comment added Jizhan Hong Tommaso: $f(x)=2x-2$ seems to have the same problem?
Feb 22, 2011 at 14:27 comment added Tommaso Centeleghe Probably it would then be more correct to ask to the equality above expressing the factorization to hold up to units.
Feb 22, 2011 at 14:19 comment added Tommaso Centeleghe Good point. However in this special case f(x) is a unit in $\mathbf{Z}[[x]]$ and, up to units, the empty product, being equal to 1, is also a unit.
Feb 22, 2011 at 11:53 history answered Laurent Moret-Bailly CC BY-SA 2.5