Answer
quotient $4x^2-7x+5$, remainder $-4$
Work Step by Step
Step 1. Using long division as shown in the figure, we have $\frac{4x^3-3x^2-2x+1}{x+1}=4x^2-7x+5+\frac{-4}{x+1}$
Step 2. We can identify the quotient as $4x^2-7x+5$ and the remainder as $-4$
