Answer:
(C) (x+1) is not a factor
Step-by-step explanation:
To show that x+1 is not a factor, in other words to show that the polynomial cannot be written as a product
[tex](x+1)\cdot(some\,\,quadratic)=-3x^3-2x^2+1[/tex]
it suffices to test that x=-1 is not a root of the original cubic:
[tex]-3x^3-2x^2+1|_{x=-1}=-3(-1)^3-2(-1)^2+1=2\neq 0[/tex]
which is hereby shown and the option (A) is out.
Option (B) is non-sense.
Option (C) is the correct answer.
