Chapter 5 - Section 5.2 - Multiplying Polynomials - Exercise Set - Page 359: 81

$2x^{3}-9x^{2}+27x-27$

$ \begin{array}{lllllll} & & & & x^{2} & -3x & +9\\ & & & & & 2x & -3\\ & & & & -- & -- & --\\ & & & & -3x^{2} & +9x & -27\\ & & & 2x^{3} & -6x^{2} & +18x & \\ \hline & & & & & & \\ & & & 2x^{3} & -9x^{2} & +27x & -27 \end{array} \qquad \begin{array}{l} .\\ .\\ .\\ \leftarrow-3(x^{2}-3x+9)\\ \leftarrow 2x(x^{2}-3x+9)\\ \\ \leftarrow\text{combine } \end{array}$