On the Zeroes of a Polynomial

Let P(z) = ∑n−1j=0ajzj+zn (n ≥ 2) be a polynomial with complex coefficients, where not all of the numbers a0, ..., an−2 are equal to 0. We prove that if P(z) = 0, then [formula] with α = 1/max2 ≤ j ≤ n |an−j|1/j.