\[6a^{2} + 11a - 2 = 0\]
\[a_{1} + a_{2} = - \frac{11}{6}\]
\[a_{1} \cdot a_{2} = - \frac{1}{3}\]
\[\Longrightarrow a_{1} = \frac{1}{6};\ \ a_{2} = - 2.\]
\[6a^{2} + 11a - 2 =\]
\[= 6 \cdot \left( a - \frac{1}{6} \right)(a + 2) =\]
\[= (6a - 1)(a + 2).\]