calculus
posted by Josh on .
solve the following inequality. write your solution in interval notation.
x^3+9x^2108 less than or equal to 0
please show all work

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 
how do I test the different regions??

Just pick a number in the region
Plug back into the function
Neg ans means less than 0
Pos ans means greater than 0