Answer:
The correct option is 1.
Step-by-step explanation:
The given equation is
[tex]6x^2+2x-8=0[/tex]
Taking out the common factor.
[tex]2(3x^2+x-4)=0[/tex]
Middle term can be written as 4x-3x, to find the factored form of the given equation.
[tex]2(3x^2+4x-3x-4)=0[/tex]
[tex]2(x(3x+4)-(3x+4))=0[/tex]
[tex]2(3x+4)(x-1)=0[/tex]
The factored form of the given equation is 2(3x+4)(x-1)=0. Therefore the correct option is 1.
