Problem

Find a polynomial of degree ≤ 2 [of the form f (t) = a + bt + ct2] whose graph goes thro...

Find a polynomial of degree ≤ 2 [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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