Which graph represents the function of f(x) = the quantity of 9 x squared plus 9 x minus 18, all over 3 x plus 6?

Question

anonymous · Answer

@nikato

anonymous · Answer

$$\frac{ 9x^2+9x-18 }{ 3x+6 }$$

nikato · Answer

Are you suppose to match graphs?

anonymous · Answer

Yes, there is four different answer choices with a graph. Although it will not allow to me save the images to show you. I can describe them if youd like

nikato · Answer

Maybe we could solve and you can see if any of your graphs match our description

anonymous · Answer

Ok :)

nikato · Answer

So can you factor the equation?

anonymous · Answer

Oh golly, how do you do that? Im not really the best at math

nikato · Answer

Ok. Well start with the numerator.
What factor does 9,9, and 18 have in common?

anonymous · Answer

3

nikato · Answer

Any bigger number that is divisible by all three?

anonymous · Answer

9??

nikato · Answer

Yes. So lets factor out a 9
So it becomes

9(x^2 +x -2)

And remember how to factor what's in the parantheses?

nikato · Answer

You want to look for two numbers that add up to 1 but their product is -2