SOLUTION: factor the expression: x^3+2x^2-3x-6

Algebra.Com
Question 886054: factor the expression: x^3+2x^2-3x-6
Answer by Theo(13342)   (Show Source): You can put this solution on YOUR website!
start with:
x^3 + 2x^2 -3x - 6
separate into 2 sections as shown below:
(x^3 + 2x^2 - (3x + 6)
factor out x^2 from the section on the left and factor out 3 from the section on the right to get:
x^2 * (x + 2) - 3 * (x + 2)
factor out the common term of (x + 2) to get:
(x^2 - 3) * (x + 2)
those are your factors.
theoretically (x^2 - 3) can also be factored as (x - sqrt(3)) * (x + sqrt(3)) but i'm not sure they want you to go that far.
you would get:
(x - sqrt(3)) * (x + sqrt(3)) * (x + 2)


RELATED QUESTIONS

Factor the expression: x^3 + 2x^2 - 3x - 6 (answered by rapaljer)
Factor the expression: 2x^2 - 4x Factor the expression: x^3 + 2x^2 - 3x - 6... (answered by scott8148)
Factor: x^3 - 3x^2 + 2x -... (answered by ptth176)
factor the polynomial.... (answered by solver91311)
how do you factor:... (answered by richwmiller)
factor the expression 2x^2-13x+6 (answered by jim_thompson5910)
Completely factor the expression:... (answered by scott8148)
Completely factor the expression... (answered by Alan3354)
factor this expression x^39-3x^2a+2+2x^a+6.. Show... (answered by Alan3354)