Chapter 3, Polynomial and Rational Functions - Section 3.3 - Dividing Polynomials - 3.3 Exercises - Page 310: 20

$Q(x)=x^{2}+2x+9\quad R(x)=44x-11$

$ \left.\begin{array}{l} \\ x^{2}-5x+1\ )\\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \end{array}\right. \begin{array}{rrrrrr} x^{2} & +2x & +9 & & \\ \hline x^{4} & -3x^{3} & & +x & -2\\ x^{4} & -5x^{3} & +x^{2} & & \\ -- & -- & -- & & \\ & 2x^{3} & -x^{2} & +x & -2\\ & 2x^{3} & -10x^{2} & +2x & \\ & -- & -- & -- & \\ & & 9x^{2} & -x & -2\\ & & 9x^{2} & -45x & +9\\ & & -- & -- & --\\ & & & 44x & -11 \end{array} $ $Q(x)=x^{2}+2x+9\quad R(x)=44x-11$