Given that the equation,

MATHEMATICS · Subjective · AoPS · Mathematics · Quadratic Equations - Part 1 · Quadratic Equations - Part 1

Problem

Given that the equation, a0xn+a1xn−1+⋯+an=0a_0 x^n + a_1 x^{n-1} + \dots + a_n = 0, (n>3)(n > 3) has nn-real roots and a0=1a_0 = 1, a1=−na_1 = -n, a2=n2−n2a_2 = \frac{n^2-n}{2}. Find the value of ∣a0+a1+a2+⋯+an∣|a_0 + a_1 + a_2 + \dots + a_n|.

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