I'm working through an assignment and need to write several elements as polyomials of degree <= 2.
($x^2+1$)($x+1$)
within the field
$\mathbb Z$$_3$[x] / ($x^3 + 2x + 1$)
And am unsure how exactly to go about doing this - could anyone give me some pointers as to what the question is asking me to do?