SOLUTION: factor completely : x^3-4x+3x^2-12

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Question 778127: factor completely :
x^3-4x+3x^2-12
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
x^3-4x+3x^2-12

x^3+3x^2-4x-12

(x^3+3x^2)+(-4x-12)

x^2(x+3)+(-4x-12)

x^2(x+3)-4(x+3)

(x^2-4)(x+3)

(x-2)(x+2)(x+3)

Final Answer: (x-2)(x+2)(x+3)