x3 - x2 + 2x = x*(x2 - x + 2) which cannot be factored further.
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2x2+5x+3 = (2x+3)(x+1) when factored
(2x+10)(x+4)
(2x+1)(2x+3) when factored
If you mean (1+2x)2, that is already factored.
2x+2 The commonality is 2, so you write 2(x+1) and it is factored.