Factor by grouping.

Question

Factor by grouping.

UkuleleGirl · Answer

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Alexis1415 · Answer

Okay so basically,

x^3+2x^2-9x-18=0
Factor: (x+2) (x+3) (x-3) = 0
x+2=0: x= -2
x+3=0: x=-3
x-3=0: x=3

So out solutions are: x= -2, x= -3, and x=3

Hope this helps!

UkuleleGirl · Answer

That was right, but I don't understand where you got Those numbers to factor out. Can you explain a bit more where you got them from

Alexis1415 · Answer

@ukulelegirl wrote:

That was right, but I don't understand where you got Those numbers to factor out. Can you explain a bit more where you got them from

Okay so basically, (x+2) is from the 2x in "x^3+2x^2-9x-18=0" (x+3) is from the "x^3" that was in the problem.

UkuleleGirl · Answer

yes but where did you get the x-3 from?

UkuleleGirl · Answer

Did you take the square root of 9 to get that?

Alexis1415 · Answer

@ukulelegirl wrote:

Did you take the square root of 9 to get that?

Yes, since it is "-9" and I used the square root and made it negative.

UkuleleGirl · Answer

oh ok. Yes that makes sense. Thanks for the help

Alexis1415 · Answer

@ukulelegirl wrote:

oh ok. Yes that makes sense. Thanks for the help

ofc c: