SOLUTION: factor by grouping x^3-3x^2+4x-12

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Question 37709: factor by grouping x^3-3x^2+4x-12
Answer by Earlsdon(6294) About Me  (Show Source):
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Factor by grouping:
x%5E3-3x%5E2%2B4x-12
Group the terms like this:
%28x%5E3-3x%5E2%29%2B%284x-12%29 Factor x%5E2 from the first group and 4 from the second group:
x%5E2%28x-3%29%2B4%28x-3%29 Factor the common %28x-3%29
%28x-3%29%28x%5E2%2B4%29