Chapter 3, Polynomial and Rational Functions - Section 3.3 - Dividing Polynomials - 3.3 Exercises - Page 310: 23

$Q(x)=x^{4}+1,\quad R(x)=0$

$ \left.\begin{array}{l} \\ x^{2}+1\ )\\ \\ \\ \\ \\\\ \\ \end{array}\right. \begin{array}{lllll} x^{4} & & & +1 & \\ \hline x^{6} & & +x^{4} & +x^{2}+1 & \\ x^{6} & & +x^{4} & & \\ -- & -- & -- & & \\ & & 0 & +x^{2}+1 & \\ & & & +x^{2}+1 & \\ & & & -- & \\ & & & 0 & \end{array} $ $Q(x)=x^{4}+1,\quad R(x)=0$