f(-2)=-40, therefore, -8+4a-2b+c=-40....(2)

Since c=0,

9a+3b=-27...(3)

4a-2b=-32...(4)

18a+6b=-54

12a-6b=-96

30a=-150, a=-5, b=6.

***I think....I haven't double checked my answer****

]]>The given polynomial is

Since it is divisible by x,

it follows that f(x)=0, therefore, the given polynomial is equal to zero, and c=0. True, because, if c is a non-zero constant, the polynomial is not divisible by x. ]]>

f(0) = (0)^3 + a(0)^2 + b(0) + c = 0 and thus c = 0?]]>