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Fill in the blank. Let E be an algebraic extension of a field F.If every irreducible polynomial in F|x| with a root in E has ALL its roots in E, then E is called a _________________ extension of F.

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Fill in the blank. Let E be an algebraic extension of a field F.If every irreducible polynomial in F|x| with a root in E has ALL its roots in E, then E is called a _________________ extension of F.





 
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