\[\boxed{\text{344\ (344).}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
\[y = x^{3} + 4x^{2} + x - 6\]
\[Пересечение\ с\ Oy:\]
\[y = - 6\]
\[\Longrightarrow (0;\ - 6).\]
\[Пересечение\ с\ \text{Ox}:\ \ \]
\[x^{3} + 4x^{2} + x - 6 = 0;\ x = 1;\]
\[(x - 1)\left( x^{2} + 5x + 6 \right) = 0\]
\[x^{2} + 5x + 6 = 0\]
\[D = 25 - 4 \cdot 6 = 1\]
\[x_{2,3} = \frac{- 5 \pm 1}{2} = - 3;\ - 2.\]
\[\Longrightarrow ( - 3;0);\ \ (1;0);\ \ \ ( - 2;0).\]