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Exactly what I did, but I'm not sure what to do with the others except for trial and error computing, which may not be the best method.  Does anyone have any hints?  -Tim
 
Exactly what I did, but I'm not sure what to do with the others except for trial and error computing, which may not be the best method.  Does anyone have any hints?  -Tim
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Would trying to prove b and d to be irreducible with mod 2 work? -Kristie

Revision as of 17:55, 12 November 2008

Examples 6, 7 and 8 are all very helpful

a.) This is irreducible over Q by Eisenstein with p=3. Eisenstein states that if a number divides every co-efficient but the first then it is irreducible. And 3 divides 9, 12, and 6.

c.) This is done the exact same way as a.)

e.) Multiply all co-efficients by 14 and then use Eisenstein with p=3.

-Zach Simpson


Exactly what I did, but I'm not sure what to do with the others except for trial and error computing, which may not be the best method. Does anyone have any hints? -Tim

Would trying to prove b and d to be irreducible with mod 2 work? -Kristie

Alumni Liaison

Abstract algebra continues the conceptual developments of linear algebra, on an even grander scale.

Dr. Paul Garrett