# Math Help - Infinite Field With Characteristic 5?

1. ## Infinite Field With Characteristic 5?

One of my study guide questions says to give an example of such a field. I'm sure there's more than one example. From there, how would I show it has said characteristic?

2. $\mathbb{Z}_5(x)=\{f(x)/g(x)|\, f(x),g(x) \in \mathbb{Z}_5[x], \, g(x) \not= 0\}$ is one, since unity 1 has order 5 under addition.