TeX Quellcode:

\begin{array}{rclcll} -8 &=& \dfrac{-5x^3+16x^2-24x+160}{-2x^2+3x} & \vert & \cdot \left(-2x^2+3x\right) \cr\cr -8\cdot \left(-2x^2+3x\right) &=& -5x^3+16x^2-24x+160 \cr 16x^2-24x &=& -5x^3+16x^2-24x+160 & \vert & -16x^2+24x \cr 0 &=& -5x^3+160 & \vert & +5x^3 \cr 5x^3 &=& 160 & \vert & :5 \cr x^3 &=& 32 & \vert & \sqrt[3]{} \cr x &=& \sqrt[3]{32}\approx 3{,}17\in\mathbb{D} & & \rightarrow \quad P_2\left(\sqrt[3]{32} \mid -8\right)\end{array}