The polynomial $$\(\mathrm{p}(x)\)$$ is defined by $$\[ \mathrm{p}(x)=a x^{3}-11 x^{2}-19 x-a, \]$$ where $$\(a\)$$ is a constant. It is given that $$\((x-3)\)$$ is a factor of $$\(\mathrm{p}(x)\)$$. When $$\(a\)$$ has this value, factorise $$\(\mathrm{p}(x)\)$$ completely. ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................

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