Determine the coordinate vector of p(x)=3x2+2p(x) = 3x^2 + 2p(x)=3x2+2 with respect to the basis B={1,x,x2}B = \{1, x, x^2\}B={1,x,x2}.
(302)T\begin{pmatrix} 3 & 0 & 2 \end{pmatrix}^T(302)T
(203)T\begin{pmatrix} 2 & 0 & 3 \end{pmatrix}^T(203)T
(023)T\begin{pmatrix} 0 & 2 & 3 \end{pmatrix}^T(023)T
(320)T\begin{pmatrix} 3 & 2 & 0 \end{pmatrix}^T(320)T