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

Not what you're looking for? Search our solutions OR ask your own Custom question.

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.

Â© BrainMass Inc. brainmass.com December 24, 2021, 5:06 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.

$2.49