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MathNet 2007-part-01 — 187 problems (EN–VI) Question 45

Math Olympiad Vault · MathNet 2007-part-01 — 187 problems (EN–VI)

Question 45

Cubic equation. Regarding the equation $2007 x^{3}+2006 x^{2}+2005 x=0$, which of the following statements is correct?

(a) It has no roots

(b) It has 3 distinct real roots

(c) It has 2 equal roots

(d) It has only one real root

(e) It has 3 positive roots