Answer:
[tex](x+1)(x-1)(x-2)[/tex]
Explanations:
Given the polynomial function:
[tex]x^3-2x^2-x+2[/tex]
Group the functions:
[tex](x^3-2x^2)-(x-2)[/tex]
Factor out the greatest common factor from the parenthesis
[tex]\begin{gathered} x^2(x-2)-1(x-2) \\ (x^2-1)(x-2) \end{gathered}[/tex]
Simplify fully to have:
[tex]\begin{gathered} (x^2-1)(x-2) \\ \lbrack(x^2-1^2)\rbrack(x-2) \\ (x+1)(x-1)(x-2) \end{gathered}[/tex]
This gives the factored form of the given polynomial.
