Ahaan's Roots

Algebra Level 4

If the roots of the polynomial \(f(x)=x^3-x+4\) are \(r\), \(s\), and \(t\), find \[|r^2s+r^2t+rs^2+rt^2+s^2t+st^2| . \]

This problem is proposed by Ahaan Rungta.

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