Is it ever possible for two distinct polynomials to interpolate the same m data points? If so, under what conditions, and if not, why? Any clue will be appreciated.
A clue is to read tutorial 7.
Using the prof’s hint: It depends on the degree.
If you’re given N points, then there is only 1 poly of degree at most N-1. (Question 1)
But there are infinite poly of degree N or more that interpolate the points (Q3)