The Lagrange polynomial:

L(x) = k yi gi(x)
Σ
i = 1

Basis polynomials:

gi(x) = k
x - xj
xi - xj
Π
j = 1, j ≠ i

Linear member of the sum:

x - xj = x - xj , where cij = xi - xj
xi - xj cij cij