calculus
posted by Josh .
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
Respond to this Question
Similar Questions

Solve Inequality
Solve the inequality. Express your solution using interval notation and please show all of your work. x(x + 6)(8 – x) >= 0 I need help, I guess I'm not understanding the interval notation portion. I know, that when 0 <= x <= … 
Math Problem3
Solve the following inequality and write your answer using interval notation. Please show all of your work. (1 / (x+8) ) ≤ ((85x)/43) 
math
2. Simplify. Please be sure to show all of your work. 3(9) – 5 – 3 3. Simplify. Please show all of your work 9c^3+7c(3c^312+c) 4. Solve 4x 3(5x8) =239(x+2) . Please show all of your work 5. Solve the following equation … 
algebra
Solve the following inequality and write your answer using interval notation . Please show all your work 10^3 + 6x^2  90x  54 < 0 
algebra
Solve the following inequality and write answer using interval notation. Please show all of your work. 2x5/3x^4x^3+275x125>=0 
calculus
solve the following inequality. write your solution in interval notation. x^3+9x^2108 less than or equal to 0 
college algebra
Solve the following inequality. x^3+9x^2108 less or equal to 0. Then write your solution in interval notation. I am sooo confused and do not have any idea how to do this. Can someone please show me step by step please? 
calculusplease help!!
Solve the inequality. x^3+9x^2108 less than or equal to 0. Then write in interval noation. Please can you show me step by step on how you got the answer. I have tries and I am very confused. 
calculus
solve the following inequality 15x16 less than or equal to 15/x is the point x=0 included in the solution set of the inquality? 
algebra URGENT HELP
analyze the graph of the following function solve R(x)=x(x16)^2 /(x+11) solve the following inequality write solution in interval notation x+14/x8 less than or equal to 1