Consider all possible trinomials of the form x^2 + p*x + q, where p,q are integers such that 1 ≤ p,q ≤ 2014.
Among them are m trinomials having integer zeroes, and n having no real roots.

Which number is higher, m or n?

(In reply to Request for clarification by Steve Herman)

Yes.

 We say that  m  is  a root or zero of a polynomial  P  if  m is a solution to the equation  P(m)=0.

Both terms are commonly used.

Posted by Ady TZIDON on 2014-12-18 22:26:56