Calculate: (2x^3-13x^2-x+3)/(2x+1)

Expression: $\frac{2x^{3}-13x^{2}-x+3}{2x+1}$

Factor $2x^{3}-13x^{2}-x+3:{\quad}(2x+1)(x^{2}-7x+3)$

$=\frac{(2x+1)(x^{2}-7x+3)}{2x+1}$

Cancel the common factor: $ 2x+1$

$=x^{2}-7x+3$