It is given that \(\mathrm p(x)=ax^3-7x^2-bx+9\), 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 \(b\).[5]
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