Question

- Question 5 1 point Number Help Given data points (x;, Y;) for j= 0,...,9, the degree of the Lagrange polynomial L3(x) is Number I

Answer 1

Answer is

Degree of Lagrange Polynomial L₃(x) is atmost 9

According to definition of Lagrange Polynomial

Given a set of k + 1 data points

( x₀ y₀ ) ( x₁ y₁), ( x₂ y₂),.............. ( x_k y_k),

where no two x_j are the same, the polynomial in the Lagrange form is

$L(x):=\sum _{j=0}^{k}y_{j}\ell _{j}(x)$

The function L(x) is a polynomial with degree at most k and where L(xj) = yj

So this is how according to definition we get degree of L₃(x) is atmost 9

Thank You