SOLUTION: factor the following polynomial: x^3+2x^2-x-2

Question 970657: factor the following polynomial: x^3+2x^2-x-2
Found 4 solutions by Boreal, Fombitz, MathLover1, MathTherapy:
Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
GROUP THIS
(x^3+2x^2) - (x+2) NOTE: The negative sign distributes across BOTH the x and the 2. This is still the same equation.
Factor both terms:
x^2(x+2) - (1) (x+2) ;l I put in the 1 to emphasize it.
The two (x+2) are each multiplied by something, and that is (x^2-1). I combine them to get (x^2-1) (x+2).
But x^2-1 is a difference of squares, so
(x^2-1) (x+2) becomes (x+1) (x-1)(x+2)

Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!

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Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!

....write as and as
....group

........ as
....group

Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

factor the following polynomial: x^3+2x^2-x-2

------- Grouping

------ Factoring difference of 2 squares (DOTS)
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