Create a divided difference table for the following data using only paper and pencil. f(1.2)=2.2f(1.4)=2.1f(1.6)=2.3 What is the interpolating polynomial of degree at most 2 ? Does it actually have degree 2 ? Write down two distinct linear interpolating polynomials for this data based on your table. 3. For f(x)=sqrt(x)
​, use a divided difference table to construct the Newton interpolating polynomial of degree at most 2 for the set of nodes xi​=0,1,4.