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

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Answer 1 · 2017-06-12T01:32:48

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

We factor by grouping the first term:

#x^3-2x^2#

Which is:

#x^2(x-2)#

Then factor the second term:

#(x-2)#

Which is:

#1(x-2)#

Then combine the like factors:

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

Our final answer is:

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