Find the quotient and remainder when x3+0⋅x2+0⋅x−1x^3 + 0 \cdot x^2 + 0 \cdot x - 1x3+0⋅x2+0⋅x−1 is divided by x−1x - 1x−1.
Quotient x2+x+1x^2 + x + 1x2+x+1, remainder 000
Quotient x2−x+1x^2 - x + 1x2−x+1, remainder 000
Quotient x2+1x^2 + 1x2+1, remainder −1-1−1
Quotient x2+x−1x^2 + x - 1x2+x−1, remainder 000