today I have a problem which I see in book Abstract Algebra of David. This is problem:
Let $F$ be a finite field of order q and let $f(x)$ be a polynomial in $F(x)$ of degree $n\geq 1$. Prove that $F[x]/\langle f(x) \rangle$ has $q^n$ elements.
today I have a problem which I see in book Abstract Algebra of David. This is problem:
Let $F$ be a finite field of order q and let $f(x)$ be a polynomial in $F(x)$ of degree $n\geq 1$. Prove that $F[x]/\langle f(x) \rangle$ has $q^n$ elements.