Transformation of Roots!

Algebra Level 5

\[\Large{P(x) = x^3 - 3x+1}\]

Let \(Q(x) = x^3 + Ax^2 + Bx + C\) be a polynomial with integer coefficients such that its roots are the fifth powers of the roots of \(P(x)\). Evaluate \(A+B+C\).

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