MathCastle
ChallengeChallengeAlgebraic Weapons

Algebraic Weapons · Challenge problem

Let rr, ss, tt be the roots of x3−5x+1=0x^3 - 5x + 1 = 0. What is (r2+r+1)(s2+s+1)(t2+t+1)(r^2 + r + 1)(s^2 + s + 1)(t^2 + t + 1)?