Chapter 3, Polynomial and Rational Functions - Section 3.3 - Dividing Polynomials - 3.3 Exercises - Page 310: 19

$Q(x)=x+1\quad R(x)=-2$

$ \left.\begin{array}{l} \\ x^{2}-x+3\ )\\ \\ \\ \\ \\\\ \\ \end{array}\right. \begin{array}{rrrrr} x & +1 & & & \\ \hline x^{3} & & +2x & +1 & \\ x^{3} & -x^{2} & +3x & & \\ -- & -- & -- & & \\ & x^{2} & -x & +1 & \\ & x^{2} & -x & +3 & \\ & -- & -- & -- & \\ & & & -2 & \end{array} $ $Q(x)=x+1\quad R(x)=-2$