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If \(f(x)\) is a monic quartic polynomial such that \(f(-1)=-1\)\(f(2)=-4\)\(f(3)=-9\), and \(f(4)=-16\), find \(f(1)\).

 Aug 24, 2020
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f(x) = x^4 - 24/5*x^3 + 16/5*x^2 + 26/5*x - 24/5, so f(1) = -1/5.

 Aug 24, 2020

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