MathDB
HOMC2012

Source:

January 29, 2016
algebraAMC

Problem Statement

[Help me] Suppose that the equation x3+px2+qx+r=0x^3+px^2+qx+r = 0 has 3 real roots x1;x2;x3x_1; x_2; x_3; where p; q; r are integer numbers. Put Sn=x1n+x2n+x3nS_n = x_1^n+x_2^n+x_3^n ; n = 1; 2; : : : Prove that S2012S_{2012} is an integer.
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