Answer
$4x^2-7x+5-\frac{4}{x+1}$.
Work Step by Step
The given expression is
$=(4x^3-3x^2-2x+1)\div(x+1)$
The value of $c$ is $-1$
Use synthetic division
$\begin{matrix}
-1) &4&-3&-2&1 \\
& &-4&7&-5 \\
& --&--&--& --\\
& 4&-7&5&-4
\end{matrix}$
The quotient is $4x^2-7x+5$ and the remainder is $-4$.
The answer is
$\Rightarrow Quotient + \frac{Remainder}{Divisor}$
$\Rightarrow 4x^2-7x+5-\frac{4}{x+1}$.
