Chapter 3, Polynomial and Rational Functions - Section 3.3 - Dividing Polynomials - 3.3 Exercises - Page 310: 16

$Q(x)=x^{2}-x+2,\quad R(x)=-5$

$\left.\begin{array}{l} \\ x+3\ )\\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \end{array}\right. \begin{array}{rrrrr} x^{2} & -x & +2 & & \\ \hline x^{3} & +2x^{2} & -x & +1 & \\ x^{2} & +3x^{2} & & & \\ -- & -- & & & \\ & -x^{2} & -x & +1 & \\ & -x^{2} & -3x & & \\ & -- & -- & & \\ & & 2x & +1 & \\ & & 2x & +6 & \\ & & -- & -- & \\ & & & -5 & \end{array} $ $Q(x)=x^{2}-x+2,\quad R(x)=-5$