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Would trying to prove b and d to be irreducible with mod 2 work? -Kristie
 
Would trying to prove b and d to be irreducible with mod 2 work? -Kristie
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For b, yes.  This is in the chapter somewhere. For d, not sure. -Josh

Revision as of 17:57, 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

For b, yes. This is in the chapter somewhere. For d, not sure. -Josh

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Basic linear algebra uncovers and clarifies very important geometry and algebra.

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