calculus
posted by Paulplease help!! on .
I have posted this question earlier and had the answer given to me this way. But my teacher needs to know what type of factorization I used and I have tried to figure it out but have NO clue!!
This is the question.
Solve the following inequality. write your answer in interval notation.
x^3+9x^2108 less than or equal to o
My anser:
(x+6)(x+6)(x3)
we have double zeros at x= 6
graph comes from way low and bounces back down off the xaxis at x= 6

Here is the rest of the answer:
then dropping down negative again
then it comes back up again and goes positive and crosses the xaxis at x=3
and from then on is positive
x=3
(00,3)u(0,6)
**Now she says note that the last term does not contain an x. What type of method did I use in this posting. Explain this method. Can someone help me please 
Not sure what you're going on about.
What do you mean "type of factorization"?
I used synthetic division to come up with the roots. If you have no clue, then you need to review finding roots of a function.
The roots are where the graph touches or crosses the xaxis.
The question is:
solve f(x) <= 0
The answer is:
f(x) <= 0 when x <= 3.
In interval notation, x is in (oo,3]