Right; that's useless for your goal.

As I said previously, "This polynomial, like the first,can'tbe factored over the integers (that is, factored into factors containing only integers)." In other words, you can't do what you want to do. More than that,Ican't do what you want to do -- no one can do it, unless you expand the goal to allow irrational numbers.

The fact is, factoring is not possible in general. If you make up a polynomial randomly, it will most likely be unfactorable (in the sense you are asking for).

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