What is the coordinate vector of x2x^2x2 relative to the basis {1,x,x2−1}\{1, x, x^2-1\}{1,x,x2−1}?
(1,0,1)(1, 0, 1)(1,0,1)
(0,0,1)(0, 0, 1)(0,0,1)
(0,1,0)(0, 1, 0)(0,1,0)
(1,1,1)(1, 1, 1)(1,1,1)