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不可以. 對有理係數多項式P(x)和Q(x),若存在複數域上的多項式f(x)使得 P(x)=Q(x)f(x) 那麼Q是Q和P的最大公因數,考察輾轉相除法即可(注意:輾轉相除法的過程是確定的,其中係數都是有理數).
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