[tex]Let \: the \: Zeroes \: of \\ polynomial \: be \: \: \alpha \: and \: \beta [/tex]

[tex] \alpha \beta = \frac{c}{a} \\ \\ = 1[/tex]

[tex] = {ax}^{2} - 6x - 6 \\ \\ \frac{c}{a} = \frac{ - 6}{a} = 1 \\ \\ a = \frac{ - 6}{1} \\ \\ a = - 6[/tex]

[tex]\huge{\color{pink}{\underline{\color{pink} {\underline{\color{lavenderblush} {\textbf{\textsf{\colorbox{pink}{Answer:-}}}}}}}}}[/tex]

[tex]\begin{gathered}Let \: the \: Zeroes \: of \\ polynomial \: be \: \: \alpha \: and \: \beta \end{gathered}[/tex]

[tex]\begin{gathered} \alpha \beta = \frac{c}{a} \\ \\ = 1\end{gathered}[/tex]

[tex]\begin{gathered} = {ax}^{2} - 6x - 6 \\ \\ \frac{c}{a} = \frac{ - 6}{a} = 1 \\ \\ a = \frac{ - 6}{1} \\ \\ a = - 6\end{gathered}[/tex]