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anonymous

  • 5 years ago

find the degree of splitting field of x5-3x3+x2-3 over Q

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  1. anonymous
    • 5 years ago
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    first factor the expression.

  2. anonymous
    • 5 years ago
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    (x+1)(x-sqrt 3 ) ( x+sqrt 3) (x^2 - x + 1)

  3. anonymous
    • 5 years ago
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    so the degree of the splitting field is 2. Don't ask me how, just google it.

  4. anonymous
    • 5 years ago
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    theres only one rational root though

  5. anonymous
    • 5 years ago
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    http://answers.yahoo.com/question/index?qid=20090202091828AAbpUBb

  6. anonymous
    • 5 years ago
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    which is the one rational root?

  7. anonymous
    • 5 years ago
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