Respuesta :

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.