Polynomials/Maximal degree/Finite dimensional linear subspace/Exercise
Let be a field, and let denote the polynomial ring over . Let . Show that the set of all polynomials of degree is a finite dimensional subspace of . What is its
dimension?Let be a field, and let
denote the
polynomial ring
over
. Let
.
Show that the set of all polynomials of degree
is a
finite dimensional
subspace
of
. What is its