JEE Quadratics

Algebra Level 5

\[\large f(x)=ax^2 - (3 + 2a)x + 6, \quad a\ne 0\]

If the set of values of \(a\) for which \(f(x)\) is postive for exactly three distinct negative integral values of \(x\) is \((c,d]\), then find the value of \(c^2 + 16d^2\).

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