What is the coordinate vector of p(x)=1+x+x2p(x) = 1 + x + x^2p(x)=1+x+x2 with respect to the basis B={1,1+x,1+x+x2}B = \{1, 1+x, 1+x+x^2\}B={1,1+x,1+x+x2}?
(0,0,1)(0, 0, 1)(0,0,1)
(1,1,1)(1, 1, 1)(1,1,1)
(0,1,1)(0, 1, 1)(0,1,1)
(1,0,0)(1, 0, 0)(1,0,0)