The equation y = x³ is a polynomial equation of degree three. To find the roots of this equation, we set y to zero:
0 = x³
Now, we can solve for x. The only way for x³ to be equal to zero is for x itself to be zero. Thus, we have:
x = 0
This means the only root of the equation y = x³ is x = 0. In terms of the graph, this indicates that the curve intersects the x-axis only at the origin (0,0).