How do you factor #x^3-2x^2+x-2#?

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Answer 1 · 2018-06-04T14:19:26

#(x^2+1)*(x-2)#

#x^3-2x^2+x-2#

=#x^2*(x-2)+x-2#

=#(x^2+1)*(x-2)#

Answer 2 · 2018-06-04T14:33:12

#(x-2)(x^2+1) #

Factor the first half and second half individually:

#=> x^2(x-2) + 1(x-2) #

We see #(x-2) # is common in each, and we can factor it out:

#color(red)(=> (x-2)(x^2+1 ) #