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2018 Final Exam Question 9d


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)