Hi everyone! I've been stuck on this problem for the last hour and i need some sort of hint or help for this.

let

$\displaystyle v=2x^3 - 5x^2 + x - 1 \in R_{3} [x]$. Write the column vector v e-hat for the usual basis, i.e. $\displaystyle 1, x, x^2, x^3$

I've been taught to use the Talyor's series but Im confused about how i can go about with that. Thanks!