TR-MO-R1 2019 Problem 31

$x^9+x^7+x^6+x^5+x^2-x-1$ polinomunun gerçel köklerinin toplamı $A$ ve çarpımı $B$ olmak üzere, $A(B+1)$ kaçtır?

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

Official text Turkish Mathematical Olympiad, first round 2019 official paper, page 16. Quoted with source.

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