# What does the notation $\mathbb{F}_3[x]$ mean?

What does $\mathbb{F}_3[x]$ mean in terms of polynomials?

It means polynomials where the coefficients are from the field with three elements $\mathbb{F}_3$.
• So that would mean that $0, 1, 2$ equal $3, 4, 5$, respectively? – johnnymath Dec 2 '11 at 1:18
• @johnnymath sure, in $\mathbb{F}_3$, $0$ and $3$ are just different representations for the same element – Vinicius M. Dec 2 '11 at 1:28