A cubic polynomial: y = ax3 + bx2 + cx + d where a, b, c, and d are constants.
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If the discriminant = 0 then the graph touches the x axis at one point If the discriminant > 0 then the graph touches the x axis at two ponits If the discriminant < 0 then the graph does not meet the x axis
Whether the graph has 0, 1 or 2 points at which it crosses (touches) the x-axis.
An x-intercept is any point on a graph where a line touches the x-axis.
When the graph of a quadratic crosses the x-axis twice it means that the quadratic has two real roots. If the graph touches the x-axis at one point the quadratic has 1 repeated root. If the graph does not touch nor cross the x-axis, then the quadratic has no real roots, but it does have 2 complex roots.
Discriminant = 116; Graph crosses the x-axis two times