Question

Could you please help me out with this question ??

Answer 1

Answer:

$(x+1)(x-1)(x-2)$

Explanations:

Given the polynomial function:

$x^3-2x^2-x+2$

Group the functions:

$(x^3-2x^2)-(x-2)$

Factor out the greatest common factor from the parenthesis

$\begin{gathered} x^2(x-2)-1(x-2) \\ (x^2-1)(x-2) \end{gathered}$

Simplify fully to have:

$\begin{gathered} (x^2-1)(x-2) \\ \lbrack(x^2-1^2)\rbrack(x-2) \\ (x+1)(x-1)(x-2) \end{gathered}$

This gives the factored form of the given polynomial.