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OpenStudy (anonymous):
Can two irreducible polynomials share a common root?
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OpenStudy (klimenkov):
Sure. \(P_1(x)=x-1\), \(P_2(x)=x-1\). They have a common root \(x_0=1\), but both of of them are irreducible.
OpenStudy (anonymous):
Haha, okay, two distinct irreducible polynomials.
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