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    Find all solutions of x2 + x +1 ≡ 0 (mod 11) etc..

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    Number Theory - Polynomial Congruences

    Find all solutions of each of the following congruences .
    (a) x2 + x +1 ≡ 0 (mod 11)
    (b) x3 + x + 1 ≡ 0 (mod 13)
    (c) x4 + x3 + 2 ≡ 0 (mod 7)

    See attached file for full problem description.

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    https://brainmass.com/math/basic-algebra/find-all-solutions-of-x2-x-1-8801-0-mod-11-etc-28383

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    Solution Summary

    This solution is comprised of a detailed explanation for solving the problems on polynomial congruences.
    It contains step-by-step explanation for finding all solutions of each of the following congruences:
    (a) x2 + x +1 ≡ 0 (mod 11)
    (b) x3 + x + 1 ≡ 0 (mod 13)
    (c) x4 + x3 + 2 ≡ 0 (mod 7)

    Solution contains detailed step-by-step explanation.

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