Question: 4. Consider the problem of determining a polynomial P2 [1} of degree 2 satisfying FEED) = firm}: Pith} = fire}: 132(le = 3132): where f,

4. Consider the problem of determining a polynomial P2 [1} of degree 2 satisfying FEED) = firm}: Pith} = fire}: 132(le = 3132): where f, 33.3, 3:11 5:2 are given and In {2 3:1 1:: 3:2. Does this problem have a solution for all given f in Cl[:r:, 3:2] and all In, 3:], 332 '? If so1 nd it; if not, give an example for which there is no solution. Note that this problem does not t the theoryF developed in class

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