TeX Quellcode:

\begin{array}{crclll} & 13 &=& 2x^4-x^3+3x^2+13 &\vert & - 13 \cr & 0 &=& 2x^4-x^3+3x^2 \cr & 0 &=& x^2\left(2x^2-x+3\right) & \vert & \text{Satz vom Nullprodukt} \cr \text{Faktor 1:} & x^2 &=& 0 &\vert& \pm\sqrt{} \cr & x_2 &=& 0 & & \rightarrow \quad P_2(0 \mid 13) \cr\cr\text{Faktor 2:} & 2x^2-x+3 &=& 0 & \vert & :2 \cr & x^2-\dfrac{1}{2}x+\dfrac{3}{2} &=& 0 &\vert& \text{p-q-Formel} \cr & x_{3,4} &=& \dfrac{1}{4} \pm \sqrt{\left(-\dfrac{1}{4}\right)^2-\dfrac{3}{2}} \cr & x_{3,4} &=& \dfrac{1}{4} \pm \sqrt{-\dfrac{23}{16}} \end{array}