Generalization is standard lingo in machine learning – it's about going from known data (training set / test set) to new data which shares the same underlying patterns but wasn't available at learning time.
Taking the posts simple polynomial example, it would be going from
4x^2 + 2x -3 = 0
to
2x^2 -5x +2 = 0
or more generally to
ax^2 + bx + c = 0