Find all solutions of x2 + x +1 ≡ 0 (mod 11) etc..
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.
© BrainMass Inc. brainmass.com February 24, 2021, 2:33 pm ad1c9bdddfhttps://brainmass.com/math/basic-algebra/find-all-solutions-of-x2-x-1-8801-0-mod-11-etc-28383
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.
$2.19