Answer
$4x^{2}-7x+5 -\displaystyle \frac{4}{x+1}$
Work Step by Step
$\begin{array}{lllll}
& 4x^{2} & -7x & +5 & \\
& -- & -- & -- & -\\
x+1\ \ \ \ \ ) & 4x^{3} & -3x^{2} & -2x & +1\\
& 4x^{3} & +4x^{2} & & \\
& -- & -- & & \\
& & -7x^{2} & -2x & \\
& & -7x^{2} & -7x & \\
& & -- & -- & \\
& & & 5x & +1\\
& & & 5x & +5\\
& & & -- & --\\
& & & & -4
\end{array} $