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IMAS 2017 — Junior — Round 1 Question 13

IMAS · IMAS 2017 — Junior — Round 1

Question 13

The sum of $a$, $b$ and $c$ is negative, while the product of these three numbers is positive. If $x=\frac{a}{|a|}+\frac{b}{|b|}+\frac{c}{|c|}$, what is the value of $x^{2017}-2017x^2+36$?
  1. $-1982$
  2. $-1981$
  3. $-1980$
  4. 1980
  5. 1982