Ahaan's Roots

Algebra Level 4

If the roots of the polynomial f(x)=x3x+4f(x)=x^3-x+4 are rr, ss, and tt, find r2s+r2t+rs2+rt2+s2t+st2.|r^2s+r^2t+rs^2+rt^2+s^2t+st^2| .

This problem is proposed by Ahaan Rungta.

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