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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. | 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. | ||
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| + | c.) This is done the exact same way as a.) | ||
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| + | e.) Multiply all co-efficients by 14 and then use Eisenstein with p=3. | ||
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| + | -Zach Simpson | ||
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Revision as of 16:31, 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
