What is the general form of the Lagrange interpolation polynomial for n+1 data points as described in the chapter?

The general form of the Lagrange interpolation polynomial for n+1 data points is a polynomial of degree n that passes through each of the given points. It is constructed using the formula: \( p(x) = \sum_{i=0}^{n} f(x_i) L_i(x) \), where \( L_i(x) \) are the Lagrange basis polynomials defined as \( L_i(x) = \prod_{j=0, j \neq i}^{n} \frac{x - x_j}{x_i - x_j} \).