Answer:
The correct option is 1.
Step-by-step explanation:
If a quadratic equation is defined as
[tex]ax^2+bx+c=0[/tex] .... (1)
Then the sum of the roots is -b/a and the product of roots is c/a.
The given equation is
[tex]3x^2+11x-4=0[/tex] ... (2)
From (1) and (2) we get a=3, b=11 and c=-4.
The sum of roots is
[tex]\frac{-b}{a}=-\frac{11}{3}[/tex]
The sum of roots is [tex]-\frac{11}{3}[/tex].
Therefore the correct option is 1.