SOLUTION: x^3+4x^2-4x-16≥0 find the polynomial inequality and show your work

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Question 703166: x^3+4x^2-4x-16≥0
find the polynomial inequality and show your work
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
x^3+4x^2-4x-16≥0
find the polynomial inequality and show your work
x^3+4x^2-4x-16≥0
x^2(x+4)-4(x+4)≥0
(x+4)(x^2-4)≥0
(x+4)(x+2)(x-2)≥0
number line:
<...-....-4...+...-2....-....2...+....>
solution:
[-4,2] U [2,∞)