I'm working on this factoring problem & they give an example & I'm not sure how they got to it, could any one help me out by explaining.

x^3-x^2+x-6 ----- (x-2)(x^2+x+3)

I'd appreciate any help

Question

I'm working on this factoring problem & they give an example & I'm not sure how they got to it, could any one help me out by explaining.

x^3-x^2+x-6 -----> (x-2)(x^2+x+3)

I'd appreciate any help

anonymous · Answer

My thinking is that we'd factor out an x but when I do that I don't get whats in the second parenthesis

anonymous · Answer

also if wouldn't I not be able to factor out the X because there is not an X by the 6 ?

anonymous · Answer

So I have to use the difference of squares formula ?

anonymous · Answer

One moment

anonymous · Answer

It's the correct answer, I just verified it... now I have to work it.

anonymous · Answer

But it's not solved via that formula

anonymous · Answer

So it appears they took a third of the outside term.. being x - 2... minus because in the original problem it's -6 (-6/3=-2)

anonymous · Answer

so from there they filled in the blanks... let me get my pen

anonymous · Answer

are you still with me here so I can explain? let me know

anonymous · Answer

so lets start w/what we know

anonymous · Answer

|dw:1345175186864:dw|