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

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Question 85275: factor by grouping
x^3-3x^2+4x-12
Answer by Edwin McCravy(20056) About Me  (Show Source):
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factor by grouping 

x³ - 3x² + 4x - 12



Factor x² out of the first two terms, and

factor 4 out of the last two terms:



x²(x - 3) + 4(x - 3)



Now there are only two terms and they have a

common factor or (x - 3).  So we factor (x - 3)

out of each term.



(x - 3)(x² + 4)



It doesn't factor any further.



Edwin