\(f\left( x \right)-x-1=2{{x}^{4}}+9{{x}^{3}}+5{{x}^{2}}-24x-27=2{{(x+2)}^{4}}-7{{(x+2)}^{3}}-{{(x+2)}^{2}}+1\)
令\(y=x+2\)
\(\begin{align}
& 2{{y}^{4}}-7{{y}^{3}}-{{y}^{2}}+1=\left( \frac{2}{a}y+1 \right)\left( a{{y}^{3}}+b{{y}^{2}}+2y+1 \right) \\
& \frac{2}{a}+2=0,a=-1 \\
& \frac{4}{a}+b=-1,b=3 \\
\end{align}\)
