Using the synthetic division algorithm (see attached for a completed table), we have
[tex]\dfrac{x^4-3x^3-14x^2-x+19}{x+1} = \underbrace{x^3 - 4x^2 - 10x + 9}_{q(x)} + \dfrac{\overbrace{10}^{r(x)}}{\underbrace{x+1}_{b(x)}}[/tex]
