The polynomial $$\(a x^{3}+5 x^{2}-4 x+b\)$$, where $$\(a\)$$ and $$\(b\)$$ are constants, is denoted by $$\(\mathrm{p}(x)\)$$. It is given that $$\((x+2)\)$$ is a factor of $$\(\mathrm{p}(x)\)$$ and that when $$\(\mathrm{p}(x)\)$$ is divided by $$\((x+1)\)$$ the remainder is 2 . Find the values of $$\(a\)$$ and $$\(b\)$$. ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................

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