# Lagrange interpolating polynomial

How can one find $$L[x_0,x_1,..,x_n;\frac{1}{x+a}]?$$ The original problem asks for $$L[x_0,x_1,..,x_n;\frac{x^{n+1}}{x\pm 1}]$$ I know there is a formula for $[x_0,x_1,..,x_n,\frac{f(x)}{a-x}]$, but I suppose it does not help.

• You mean "other than by plugging $f(x)=1/(x+a)$ into the Lagrange interpolation formula? Not clear what answer you expect. – user147263 Dec 20 '14 at 21:54
• I think there has to be a quick method for finding the coefficients of the polynomial without having to use the general formula. – user42768 Dec 20 '14 at 22:20