# 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?

×