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Math Help - solve polynomial mod p

  1. #1
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    Post solve polynomial mod p

    How would I go about solving x^6-9x^4+11x^2+21 = 0 mod 1499 . ? I cant seem to get the right answer by factoring the polynomial.

    - Kate
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  2. #2
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    The polynomial factorises over the integers as (x^2-3)(x^2-7)(x^2+1). To see whether any of the quadratic factors can be further factorised mod 1499, you need to test whether the numbers 3, 7 and 1 are quadratic residues mod 1499.
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