A cubic game

Algebra Level 2

Brilli the Ant and Brian Till are at it again. Unlike last time, they are playing the cubic game.

In one move, Brilli is going to choose a real number and Brian puts it in one of the empty spaces in the cubic equation below:

\(x^3 +\) _ \(x^2 + \)_ \(x + \)__ \(= 0\)

After 3 moves, the game is over. Brilli wins the game if the final equation has 3 distinct integer roots.

Who has the winning strategy?


Problem Loading...

Note Loading...

Set Loading...