Posted by **Josh** on Monday, December 24, 2012 at 9:43pm.

solve the following inequality. write your solution in interval notation.

x^3+9x^2-108 less than or equal to 0

please show all work

- calculus -
**Mac**, Monday, December 24, 2012 at 10:05pm
Get you started you have to start by guessing

X=3 works

Then do long division

Answer will be x^2+12x+36

Factor

(X+6)(x+6)

3and -6 are your critical values

Now you have to test the different regions

- calculus -
**Josh**, Monday, December 24, 2012 at 10:10pm
how do I test the different regions??

- calculus -
**Mac**, Monday, December 24, 2012 at 10:33pm
Just pick a number in the region

Plug back into the function

Neg ans means less than 0

Pos ans means greater than 0

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