Certainly! Below is the transcription suitable for an educational website.---### Polynomial CongruenceConsider the congruence:\[ x^4 + 2x + 12 \equiv 0 \pmod{24} \]Note:All that is not equivalent to polynomial congruence.### Problem Statement:Find the solutions to the given polynomial congruence.---This exercise requires solving the polynomial congruence modulo 24, where you find values of \( x \) that satisfy the given equation.

We must identify values of that fulfill the congruence equation x^ 4 + 2x +12 ≡ 0 (mod 24) in order…

Answered: x^4 + 2x +12 = 0( mod24) All that is…

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter4: Polynomials

Section4.2: Adding And Subtracting Polynomials

Problem 2CE

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x^4 + 2x +12 = 0( mod24) All that is not equivalent to polynomial congruence Find solutions.