The polynomial is given as
[tex]f(x)=x^3+2x^2-11x-12[/tex]To determine the sum of roots in the cubic polynomial.
The sum of the roots of a cubic equation can be obtained using:
-b/a;
where a is the coefficient of x³ and b is the coefficient of x²
Therefore, the sum of the roots of the polynomial is
[tex]\frac{-b}{a}=\frac{-2}{1}[/tex]Hence the sum of the roots of the polynomial is -2.