Answer:
[tex](x^2+1)(x-2)[/tex]
Step-by-step explanation:
The polynomial given is: [tex]x^{3}-2x^{2}+x-2[/tex]
Grouping the first 2 terms together and the last 2 terms together and taking common, we have:
[tex]x^3-2x^2+x-2\\=(x^3-2x^2)+(+x-2)\\=x^2(x-2)+1(x-2)\\=(x^2+1)(x-2)[/tex]
This is the complete factorization.
