# Squares R.I.P

Algebra Level 3

Let $f(x)$ be a cubic polynomial such that $f(1) = 5, f(2) = 20, f(3) = 45$.

Then find the product of roots of the equation below.

$\large [f(x)]^{2} + 3x \ f(x) + 2x^{2} = 0$

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