SOLUTION: Factor Completely. 3x^3-6x^2-12x+24 Thank You

Question 630301: Factor Completely.
3x^3-6x^2-12x+24
Thank You
Found 2 solutions by dfrazzetto, ewatrrr:
Answer by dfrazzetto(283) (Show Source): You can put this solution on YOUR website!

3x^3-6x^2-12x+24
Factor by grouping (special case):
3x^3 - 6x^2 - 12x + 24
3x^2(x-2) -12(x-2)
group like terms:
(3x^2 - 12)(x-2)
Factor out a 3:
3(x^2 - 4)(x-2)
Differences of squares: (a^2-b^2) = (a+b)(a-b)
3(x+2)(x-2)(x-2)

Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!

Hi,
3x^3-6x^2-12x+24
3(x^3-2x^2-6x+12) = 0 x = 2 is one solution
Using syntheitic division:
2 1 -2 -12 24
2 0 -24
1 0 -12 0
x^2 - 12 = 0
x^2 = 12
x = � 2
3x^3-6x^2-12x+24=
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