A cubic game
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?