Question 192
Is there an integer $x$ such that
$$
2010 + 2009 x + 2008 x^{2} + 2007 x^{3} + \cdots + 2 x^{2008} + x^{2009} = 0?
$$
$$
2010 + 2009 x + 2008 x^{2} + 2007 x^{3} + \cdots + 2 x^{2008} + x^{2009} = 0?
$$
MathNet 2026 — Part 10 Question 192
Math Olympiad Vault · MathNet 2026 — Part 10