TR-MO-R1 2011 Problem 11

$x^5 + x^4 - 4x^3 - 7x^2 - 7x - 2$ polinomumun farklı gerçel köklerinin toplamı nedir?

a) $0$ b) $1$ c) $2$ d) $-2$ e) $7$

Official text Turkish Mathematical Olympiad, first round 2011 official paper, page 4. Quoted with source.

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