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

1 Answer
Sep 1, 2016

Answer:

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

Explanation:

There are 4 terms, there is no common factor in all 4, so group them to make common factors. Make sure there is a + sign between the groups.

#x^3 - x^2 + 2x - 2 = (x^3 - x^2) + (2x - 2)#

=#x^2(x-1) + 2(x-1) larr # there is a common bracket.

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