On a Polynomial of Interpolation?

Polynomial interpolation is a method of estimating values between known data points. ... The value of the largest exponent is called the degree of the polynomial. If a set of data contains n known points, then there exists exactly one polynomial of degree n-1 or smaller that passes through all of those points.

What do you mean by polynomial interpolation?

In numerical analysis, polynomial interpolation is the interpolation of a given data set by the polynomial of lowest possible degree that passes through the points of the dataset.

How do you find the interpolation of a polynomial?

Using the table. Once the divided differences have been computed, we can compute the interpolating polynomial f(x) having degree ≤n using the following formula. Newton's divided difference formula f(x)=f[x0]+(x−x0)f[x1,x0]+(x−x0)(x−x1)f[x2,x1,x0]+(x−x0)(x−x1)(x−x2)f[x3,x2,x1,x0]+⋯+(x−x0)⋯(x−xn−1)f[xn,…,x0].