Answer:
option-3
Step-by-step explanation:
to figure out the quotient we can consider using Polynomial long division
[tex] \begin{array}{ccc} \displaystyle\qquad \qquad \qquad \qquad 2 x + 1 + \frac{2x - 5}{ x + x + 1} \\ \hline {x }^{2} + x + 1\Bigg) 2 {x}^{3} + {3x}^{2} + 5x - 4 \\ \quad \qquad - 2 {x}^{3} - 2 x^{2} - 2x \\ \hline \qquad \qquad \qquad \qquad {x}^{2} + 3x - 4 \\ \qquad \qquad \qquad - {x}^{2} - x - 1 \\ \hline \qquad \qquad \qquad \qquad 2x - 5 \end{array}[/tex]
hence, our answer is option-3
