Find Lagrange’s interpolating polynomial for the following data. Hence obtain the value of
f(4). (5)
x 0 2 3 5
f(x) 2 11 21 121

Lagrange's interpolating polynomial is a polynomial of degree (n-1) that passes through n distinct data points. To find the Lagrange interpolating polynomial for the given data, we can use the following formula:

L(x) = Σ f(x_i) * l_i(x) / Σ l_i(x)

where:

• L(x) is the Lagrange interpolating polynomial
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