Find a quadratic polynomial p(x )
such that p(1) = 4, p(2) = 3, and p(3) = 4.
Suppose that p(x ) = ax 2 + bx + c . Then
p(1) = a + b + c , p(2) = 4a + 2b + c ,
p(3) = 9a + 3b + c .
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