Question

What is the sum of the roots of the polynomial shown below? f(x) = x2 + 2x2 - 112-12

Answer 1

The polynomial is given as

`f(x)=x^3+2x^2-11x-12`

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

`(-b)/(a)=(-2)/(1)`

Hence the sum of the roots of the polynomial is -2.