# Stationary Points

Calculus Level 3

Consider the polynomial function $$f\left( x \right)$$ with rule $$f\left( x \right) =\frac { 1 }{ 3 } { x }^{ 3 }+a{ x }^{ 2 }-2x-2$$, where $$a\in \Re.$$

What is the probability that the stationary points of $$f\left( x \right)$$ lie in the same quadrant of the cartesian plane?

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