Construct the Newton form of the interpolating polynomial of degree 8 for the function f(x) using the data points at x =-8,6,4,2,0, 2, 4, 6, 8. 4. EvaluateE(x), ps(x), and Itx)-Ps(x)forthe17 points at x =-8,-7,-6,-5,4,3,2-1, o, 1, 2, 3, 4, 5, 6,7,8. Part II. Use Visual Studio 2015 to do the following task 1. Create a C++ console application project in Visual Studio 2015 and name your project YourLastName3 2. Write a program that implements the Newton Interpolation discussed in class. 3. Write a separate function for each of the following. You may define and call additional functions. Computation of divided differences Evaluation of the interpolating polynomial Must use a nested form as discussed in class . 4. Your program must store divided differences in a single dimensional array 5. All floating point arithmetic will be double precision. 6. Program input: Sequence of x values of data points Sequence of x values to evaluate P(x) 7. Program output Divided differences at each iteration Table containing fox), P)fx) -P(x) for the 17 data points