Use three nodes $x₀=0$, $x₁=1$, and $x₂=2$ and formula stated in class to construct the quotient polynomial: $L2,0(x)$, $L2,1(x)$, and $L2,2(x)$, and the second-degree Lagrange interpolation polynomial.
a) $L2,0(x) = (x-1)(x-2)/-2$
b) $L2,1(x) = x(x-2)/2$
c) $L2,2(x) = x(x-1)/2$
d) $L2,0(x) = x(x-1)/2$
