The polynomial $$\(\mathrm{p}(x)\)$$ is defined by $$\( \mathrm{p}(x)=6 x^{3}+a x^{2}-4 x-3 \)$$ where $$\(a\)$$ is a constant. It is given that $$\((x+3)\)$$ is a factor of $$\(\mathrm{p}(x)\)$$. Using this value of $$\(a\)$$, factorise $$\(\mathrm{p}(x)\)$$ completely. ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................

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