4
$\begingroup$

Let $P$ be a degree $3$ polynomial with complex coefficients such that the constant term is $2010$. Then $P$ has a root a with $|a| > 10$.

how can i show that above statement is true/false.can help anyone?

  • 1
    You will want to think of anything that you know which relates the roots of a polynomial with its constant term. Also, what assumptions does this relation depend on?2012-11-24
  • 0
    I assume the polynomial is also a monic polynomial. Else we can scale any polynomial to have the constant term as $2010$.2012-11-24

3 Answers 3