What is the coordinate vector of p(x)=2x2+3x+1p(x) = 2x^2 + 3x + 1p(x)=2x2+3x+1 with respect to the basis B={1,x−1,(x−1)2}B = \{1, x-1, (x-1)^2\}B={1,x−1,(x−1)2}?
[2,3,1]T[2, 3, 1]^T[2,3,1]T
[6,7,2]T[6, 7, 2]^T[6,7,2]T
[1,5,2]T[1, 5, 2]^T[1,5,2]T
[2,5,6]T[2, 5, 6]^T[2,5,6]T