Even degree polynomials can cross the x axis
See the following : https://www.desmos.com/calculator/fkd1kpcoui
The function that you have ( x^2 + 3 - 1 = x^2 + 2) won't cross the x axis because it is the basic graph of y = x^2 shifted up 2 units.....so.....this will never cross the x axis