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

2 Answers
Jun 4, 2018

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

Explanation:

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

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

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

Jun 4, 2018

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

Explanation:

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 ) #