This is documentation for Mathematica 3, which was
based on an earlier version of the Wolfram Language.
 InterpolatingPolynomial InterpolatingPolynomial[ data , var ] gives a polynomial in the variable var which provides an exact fit to a list of data. The data can have the forms , , , , ... or , , ... , where in the second case, the are taken to have values 1, 2, ... . The can be replaced by , , , ... , specifying derivatives at the points . With a list of data of length , InterpolatingPolynomial gives a polynomial of degree . Example: InterpolatingPolynomial[ 4, 5, 8 , x]. InterpolatingPolynomial gives the interpolating polynomial in Newton form, suitable for numerical evaluation. See the Mathematica book: Section 3.3.4, Section 3.8.1. See also: Fit, Roots. Related package: NumericalMath`PolynomialFit`. Further Examples This constructs a polynomial with the values , , , at the points , , , . In[1]:= Out[1]= This gives a polynomial whose graph passes through the three points given in the list. In[2]:= Out[2]=