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?

What does it mean for a polynomial to have integer zeroes?  Do you mean integer roots?

Posted by Steve Herman on 2014-12-18 16:44:21