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1. Coefficient of a quadratic from its values ●●●●○ 100 ptsThe function $f(x)$ is of the form $ax^{2}+bx+c$ for some integers $a$, $b$ and $c$. Given that $\{f(177883), f(348710), f(796921), f(858522)\} = \{1324754875645, 1782225466694, 1984194627862, 4388794883485\}$, compute $a$.