# 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 $$A+B+C$$.

×