Note --> As you're writing 'zeroes' , I assume there is a typing mistake and you've given a Quadratic equation in the question
[tex]f(x) = 2 {x}^{2} + 11x - 6 \\ \\ f(x) = (2x - 1)(x + 6) = 0[/tex]
Hence , the roots are 1/2 and -6
The graph attached confirms the same ,
Hope it helps you :)