Solving Polynomial Inequalities Analytically

Exercise 3.

Find the solutions of the inequality

x³+x²-6x>0.

Answer.

The equation x³+x²-6x=0 has the roots x=-3, x=0 and x=2.

Consequently, the set of solutions of the inequality is the union of the interval (-3,0) and the interval $(2,\infty)$.

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