Answer:
(D)
Step-by-step explanation:
The given equation is:
[tex]f(x)=x^3-2x^2-5x+6[/tex]
Factorizing the above equation, we have
[tex]f(x)=(x-1)(x^2-x-6)[/tex]
[tex]f(x)=(x-1)(x^2-3x+2x-6)[/tex]
[tex]f(x)=(x-1)(x(x-3)+2(x-3))[/tex]
[tex]f(x)=(x-1)(x-3)(x+2)[/tex]
[tex]f(x)=(x+2)(x-3)(x-1)[/tex]
which is the required factorized form.
Thus, option D is correct.
