# Do Irreducibles Induce Algebraic Extensions?

by slamminsammya
Tags: algebraic, extensions, induce, irreducibles
 P: 15 Given $$K$$ a field, and $$f\in K[x]$$ an irreducible (monic) polynomial. Does it follow that the field $$K[x]/\left$$ is an algebraic extension of $$K$$?