TR-MO-R1 2016 Problem 27

$P(x) = (x^3 + x + 1)(x^3 - 3x^2 + 4x - 3)$ polinomunun gerçel köklerinin toplamı kaçtır?

a) $-1$ b) $0$ c) $1$ d) $2$ e) $3$

Official text Turkish Mathematical Olympiad, first round 2016 official paper, page 9. Quoted with source.

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