x3 - x2 + x - 2 has no rational factors.
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x3 - x2 + 2x = x*(x2 - x + 2) which cannot be factored further.
x3-x2
x2+x-6 = (x-2)(x+3) when factored
x3 + 8 = x3 + 23 = (x + 2)(x2 + 2x + 22) = (x + 2)(x2 + 2x + 4)
x2 + 5x + 6 = (x + 2)(x + 3)