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SMO 2011 Junior Round 1 Question 2

SMO · SMO 2011 Junior Round 1

Question 2

It is known that the roots of the equation $$x^5+3x^4-4044118x^3-12132362x^2-12132363x-2011^2=0$$ are all integers. How many distinct roots does the equation have?
  1. $1$
  2. $2$
  3. $3$
  4. $4$
  5. $5$