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【多选题】

下列多项式在有理数域上不可约的是( )。

A.
$(x-a_{1})(x-a_{2})...(x-a_{n})-1$,其中$a_{1},a_{2},...,a_{n}$是两两互异的整数;
B.
$(x-a_{1})(x-a_{2})...(x-a_{n})+1$,其中$a_{1},a_{2},...,a_{n}$是两两互异的整数;
C.
$(x-a_{1})^{2}(x-a_{2})^{2}...(x-a_{n})^{2}+1$,其中$a_{1},a_{2},...,a_{n}$是两两互异的整数;
D.
$(x-a_{1})^{2}(x-a_{2})^{2}...(x-a_{n})^{2}-1$,其中$a_{1},a_{2},...,a_{n}$是两两互异的整数.
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题目标签:多项式数域
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