Can someone help me out please?

I need to find out how I can the x-intercepts of the function C(x)=x^2+5x+6

Question

Can someone help me out please?

I need to find out how I can the x-intercepts of the function C(x)=x^2+5x+6

anonymous · Answer

set it equal to zero and solve for $x$

ikou · Answer

could someone show me how thats done exactly?

ikou · Answer

I got six but I'm supposed to explain how I got it
do I just put in the steps I did?

anonymous · Answer

$$x^2+5x+6=0$$ is a start

anonymous · Answer

this one factors so it is not too bad
otherwise you need the quadratic formula

anonymous · Answer

btw it is not 6 for sure
you wil get two answers, neither are 6

ikou · Answer

Hm, should I add 5x to x^2?

ikou · Answer

oh wait

ikou · Answer

got that totally wrong, I get two x's
x=-3 and x=-2

anonymous · Answer

no they are not like tersm, you cannot add them 
you have to factor this $$(x+a)(x+b)=0$$

ikou · Answer

right?

anonymous · Answer

bingo

ikou · Answer

Okai, and if its not too much, how could I construct a rough graph of it?
The question I'm on really sucks. Its like "Describe  how to construct a rough graph of C(x) so that the meteorologist can predict when there will be no change in the water vapor."...

anonymous · Answer

it is a quadratic, meaning the shape will be a parabola
since the leading coefficient is positive, ( it is 1) the parabola will open up
it crosses the x axis at the two numbers you found $(-3,0)$ and $(-2,0)$

anonymous · Answer

you want a nice picture, it will look something like this http://www.wolframalpha.com/input/?i=x^2%2B5x%2B6

anonymous · Answer

you can see where it crosses the x axis

ikou · Answer

Yeah i see

ikou · Answer

So is this all I need to answer this?

ikou · Answer

@satellite73