Find a polynomial of degree < 2 [a polynomial of the form f(t) = a + bt + ct2] whose

Chapter 1, Problem 30

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Find a polynomial of degree < 2 [a polynomial of the form f(t) = a + bt + ct2] whose graph goes through the points (1, p), (2, q), (3, r), where p, q, r are arbitrary constants. Does such a polynomial exist for all values of p> q, r?

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