# 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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