Question 85275
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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