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