Homework Statement
Let n\,\in\,\mathbb{N}. Let F be a field, and suppose that p(x)\,\in\,F[x] is a polynomial of degree (n + 1).
Let S be the set:
S\,=\,\left\{\left(a_0,\,\ldots,\,a_n\right)\,:\,a_i\,\in\,F\right\}
Define \phi: S\,\rightarrow\,F[x]/\left(p(x)\right) via...