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Coefficient of a quadratic from its values

University · ●●●●○ 100 pts

The function f(x)f(x) is of the form ax2+bx+cax^{2}+bx+c for some integers aa, bb and cc. Given that {f(177883),f(348710),f(796921),f(858522)}={1324754875645,1782225466694,1984194627862,4388794883485}\{f(177883), f(348710), f(796921), f(858522)\} = \{1324754875645, 1782225466694, 1984194627862, 4388794883485\}, compute aa.

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quadratic functionsmodular arithmeticinteger polynomials