The partial fraction decomposition of $\displaystyle \frac{{-{5}{x}^{{2}}+{5}{x}-{90}}}{{{x}^{{3}}+{2}{x}^{{2}}+{16}{x}+{32}}}$ can be written in the form of $\displaystyle \frac{{{f{{\left({x}\right)}}}}}{{{x}+{2}}}+\frac{{{g{{\left({x}\right)}}}}}{{{x}^{{2}}+{16}}},$ where

$\displaystyle {f{{\left({x}\right)}}}=$ Preview Question 6 Part 1 of 2  
$\displaystyle {g{{\left({x}\right)}}}=$ Preview Question 6 Part 2 of 2