# Lagranges Interpolation

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**Lagranges Interpolation:**

Let f (x_{0}), f (x_{1}), ..., f (x_{n}) be n 1 entries of a function y = f (x), where f (x) is assumed too be polynomial corresponding to the arguments x_{0}, x_{1}, ...,x_{n}.

The polynomial f (x) may be written as;

where A_{0},A_{1}, ...,A_{n} are constants to be determined.

**Putting x = x _{0}**

**Putting x = x _{1}**

Similarly,

Hence, on substituting the constants values, we get

This result is known as **Lagrange’s Interpolation Formula**.