| Line 2: | Line 2: | ||
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. | ||
| + | |||
| + | 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 | ||
| + | -------------------------------------------------------------------------------------------------------------------------------------- | ||
Revision as of 15:31, 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
