# Polynomial roots equation

$$P\in C[X],\ P=X^3-X^2+6X-1$$ and $$\alpha_1,\alpha_2,\alpha_3$$ it’s roots. Find $$\alpha_1^5+\alpha_2^5+\alpha_3^5$$. I know there are some recursive formulas to solve this but I cannot remember them or their author.