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Best Answer
x3 - 3x2 + 4
Since the coefficients of the odd powers of x (=1) is the same as the sum of the even powers (-3+4=1), then x = -1 must be a root. That is to say, (x + 1) is a factor.
So you can rewrite the expression as
x3 + x2 - 4x2 - 4x + 4x + 4
= x2(x + 1) - 4(x + 1) + 4(x + 1)
= (x + 1)*(x2 - 4x + 4)
= (x + 1)*(x - 2)2
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