11)\(x^3+8x^2+5x+a=x\left(x^2+3x+b\right)+5\left(x^2+3x+b\right)-bx-10x+5b+a=\left(x^2+3x+b\right)\left(x+5\right)-bx-10x+5b+a⋮\left(x^2+3x+b\right)\)
\(\Rightarrow\left\{{}\begin{matrix}-bx-10x=0\\5b+a=0\end{matrix}\right.\) \(\Rightarrow\left\{{}\begin{matrix}b=-10\\a=50\end{matrix}\right.\)