00:01
For obtaining a quadratic polynomial, we shall use the values of the given table, that is x and f of x is given.
00:10
X will be in terms of 1, 3 and 4, and f of x is nothing but 1, 27 and 64.
00:22
This shall also be considered in terms of x, 0, x1 and x2.
00:31
X1 and x2, the corresponding f of x not, f of x1 and f of x2 concept.
00:40
It has been defined.
00:43
So first we will be using the lagrangian formula, that is our f of x will be equal to x minus x 1 multiplied by x minus x2, etc., multiplied by x minus x2, etc., multiplied by x minus x minus x n the whole thing divided by x not minus x1 x not minus x1 multiplied by x not minus x2 etc x0 minus x n x0 minus x n the whole thing multiplied by f of x0 whole thing multiplied by f of x0 plus plus the second set will be in terms of f of x1, x2, etc...