Select all of the number of ways in which a line and a parabola can intersect.

A line and a parabola can intersect where their equations have the same coordinates. Substituting the line’s equation into the parabola’s equation gives a quadratic equation, which can have zero, one, or two real solutions. Therefore, they can intersect 0, 1, or 2 times; they cannot intersect 3 or more times or infinitely many times.

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