Choose the best answer for each question:
1 Of the following polynomial interpolation methods, which is generally considered the method of choice due to its relative ease of use?
2 Which method is the best choice when the desired degree of the interpolating polynomial is known?
3 Which method is best suited when the desired degree of the interpolating polynomial is unknown?
4 Which method is best suited to the addition of points to the data set?
5 What is the computational cost of finding an interpolating polynomial through n {\displaystyle n} points using the Newton form?
6 What is the computational cost of the Vandermonde method, using Gaussian elimination?
7 Under what conditions can the Lagrange method of polynomial interpolation fail?
8 Given a set of n {\displaystyle n} points, exactly how many interpolating polynomials can be found to pass through the points?
9