It is given that \(\mathrm{p}(x)=a x^{3}-7 x^{2}-b x+9\), where \(a\) and \(b\) are constants.
\(x-3\) is a factor of \(\mathrm{p}(x)\).
When \(\mathrm{p}(x)\) is divided by \(x+2\) the remainder is -35 .
Find the values of \(a\) and \(b\).