The polynomial $$\(\mathrm{p}(x)\)$$ is defined by $$\( \mathrm{p}(x)=6 x^{3}+a x^{2}+9 x+b, \)$$ where $$\(a\)$$ and $$\(b\)$$ are constants. It is given that $$\((x-2)\)$$ and $$\((2 x+1)\)$$ are factors of $$\(\mathrm{p}(x)\)$$. Find the values of $$\(a\)$$ and $$\(b\)$$. ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................

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