The Factor Theorem says (x - a) is a factor of function p(x) if p(a)=0
so check for p(-2)
= -2^4 +3(-2)^3 + 4(-2)^2 - 8
= 16 - 24 +16 -8
= 0
so (x + 2) is a factor
Set



so that the volume element is

The integral is then


and so evaluates to 0.
Answer:D
Step-by-step explanation:
2x^3 - 11x^2 + 12x + 9
= (x - 3)^2( 2x = 1)
The root 3 has multiplicity of 2.