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In this section, we shall study the interpolation polynomial in the Lagrange form. Given a set of (n+1) data points and a function f, the aim is to determine a polynomial of degree n which interpolates f at the points in question. Interpolation Given a set of $(n+1)$ data points $\(x_0,y_0),(x_1,y_1),\ldots,(x_n,y_n)\$, the points defined by $(x_i)_0 \leq i\leq n$ are called points of interpolation. The points $(y_i)_0 \leq i\leq n$ are the values of interpolation. To interpolate a (...)