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Recursive polynomial interpolation - can you explain this? watch

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    The following is my problem. I've done stuff like constructing interpolation polynomials of degree one and two, but nothing like this. Don't know what to do here.

    I've also attached the lecture note that it regards as I cant seem to make sense of it. Does anyone know what it means and/or how to do it?

    Problem:



    Lecture note:

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    So set x_0=-0.1, x_1=0, x_2=0.2 e.t.c. What is the degree 0 polynomial? What is the degree 1 polynomial?
 
 
 
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