Chapter 3, Polynomial and Rational Functions - Section 3.3 - Dividing Polynomials - 3.3 Exercises - Page 310: 17

$Q(x)=2x^{2}-1,\quad R(x)=-2$

$\left.\begin{array}{l} \\ 2x+1\ )\\ \\ \\ \\ \\ \\ \\ \end{array}\right. \begin{array}{rrrrr} 2x^{2} & & -1 & & \\ \hline 4x^{3} & +2x^{2} & -2x & -3 & \\ 4x^{3} & +2x^{2} & & & \\ -- & -- & & & \\ & 0 & -2x & -3 & \\ & & -2x & -1 & \\ & & -- & -- & \\ & & 2x & -2 & \end{array} $ $Q(x)=2x^{2}-1,\quad R(x)=-2$