Question 968367
Find the solution to the polynomial inequality x^3+5x^2-4x-20>0
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use rational roots theorem with synthetic division

...0...|.....1......5......-4......-20......
...1...|.....1......6.......2......-18.
...2...|.....1......7......10.......0 (2 is a root)
f(x)=(x-2)(x^2+7x+10)=(x-2)(x+5)(x+2)>0
number line:
<....-....-5.....+.....-2.....-.....2.....+......>
solution: (-5, -2) U (2, &#8734;)