Take the 2-minute tour ×  In talking about congruence classes
modulo a polynomial, my text mentions the following: "... we may
think of $F[x]/(m(x))$ as $F[\alpha]$, the set of polynomials
with coefficients in $F$ evaluated at the congruence class
$\alpha = [x]_{m(x)}$."  So what does $[x]_{m(x)}$ mean? Does it
refer to all $b(x)$ such that $b(x) \equiv x \pmod {m(x)}$ ?
Hopefully this question is clear in this brief context...
Thanks in advance!  share|improve this question What textbook
are you using? The more context you provide the more likely
you'll receive an optimal answer. –  Bill Dubuque May 2 '11 at
13:26 add comment  1 Answer  up vote 2 down vote accepted  I
believe that,  $\left[ x \right]_{m(x)} = b(x) +
\left(m(x)\right)$, where $b(x) \in F[\alpha]$ s.t. $deg(b(x)) <
deg(m(x))$  Check here for more notes on Modular Arithmetic and
Congruence Classes with Polynomials  share|improve this answer
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