Разложить многочлен на множители x-7*x^2*x^2/7+13*x-2

Разложение на множители

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|                                                                                    /                                                                            _________________                            | |                    /                                                                            _________________                                                                                              | |                                                                                      /          _________________                                                                                              | |                                                                                      /          _________________                                                                                              |
|                                                                                   /                                                                            /        ________                             | |                   /                                                                            /        ________                                                                                               | |                                                                                     /          /        ________                                                                                               | |                                                                                     /          /        ________                                                                                               |
|                                                                                  /                                    28                                      /  49   \/ 194097                4             | |                  /                                    28                                      /  49   \/ 194097                4                                                                               | |                                                                                    /          /  49   \/ 194097                                    28                                            4             | |                                                                                    /          /  49   \/ 194097                                    28                                            4             |
|                                                                                 /    - --------------------------------------------------------------- - 2*3 /   -- + ----------  - ------------------------ | |                 /    - --------------------------------------------------------------- - 2*3 /   -- + ----------  - ------------------------                                                                   | |                                                                                   /    - 2*3 /   -- + ----------  + --------------------------------------------------------------- - ------------------------ | |                                                                                   /    - 2*3 /   -- + ----------  + --------------------------------------------------------------- - ------------------------ |
|              _____________________________________________________             /                 _____________________________________________________     \/    4        36               _________________ | |                /                 _____________________________________________________     \/    4        36               _________________              _____________________________________________________| |                _____________________________________________________             /         \/    4        36                  _____________________________________________________          _________________ | |                _____________________________________________________             /         \/    4        36                  _____________________________________________________          _________________ |
|             /        _________________                                        /                 /        _________________                                                                /        ________  | |               /                 /        _________________                                                                /        ________              /        _________________                            | |               /        _________________                                        /                                            /        _________________                                     /        ________  | |               /        _________________                                        /                                            /        _________________                                     /        ________  |
|            /        /        ________                                        /                 /        /        ________                                                                /  49   \/ 194097   | |              /                 /        /        ________                                                                /  49   \/ 194097              /        /        ________                             | |              /        /        ________                                        /                                            /        /        ________                                     /  49   \/ 194097   | |              /        /        ________                                        /                                            /        /        ________                                     /  49   \/ 194097   |
|           /        /  49   \/ 194097                4                       /                 /        /  49   \/ 194097                4                                           3*3 /   -- + ----------  | |             /                 /        /  49   \/ 194097                4                                           3*3 /   -- + ----------            /        /  49   \/ 194097                4             | |             /        /  49   \/ 194097                4                       /                                            /        /  49   \/ 194097                4                3*3 /   -- + ----------  | |             /        /  49   \/ 194097                4                       /                                            /        /  49   \/ 194097                4                3*3 /   -- + ----------  |
|          /    2*3 /   -- + ----------  + ------------------------          /                 /    2*3 /   -- + ----------  + ------------------------                                 \/    4        36      | |            /                 /    2*3 /   -- + ----------  + ------------------------                                 \/    4        36               /    2*3 /   -- + ----------  + ------------------------ | |            /    2*3 /   -- + ----------  + ------------------------          /                                            /    2*3 /   -- + ----------  + ------------------------      \/    4        36      | |            /    2*3 /   -- + ----------  + ------------------------          /                                            /    2*3 /   -- + ----------  + ------------------------      \/    4        36      |
|         /       \/    4        36               _________________         /                 /       \/    4        36               _________________                                                        | |           /                 /       \/    4        36               _________________                                                                /       \/    4        36               _________________ | |           /       \/    4        36               _________________         /                                            /       \/    4        36               _________________                             | |           /       \/    4        36               _________________         /                                            /       \/    4        36               _________________                             |
|        /                                       /        ________         /                 /                                       /        ________                                                         | |          /                 /                                       /        ________                                                                /                                       /        ________  | |          /                                       /        ________         /                                            /                                       /        ________                              | |          /                                       /        ________         /                                            /                                       /        ________                              |
|       /                                       /  49   \/ 194097         /                 /                                       /  49   \/ 194097                                                          | |         /                 /                                       /  49   \/ 194097                                                                /                                       /  49   \/ 194097   | |         /                                       /  49   \/ 194097         /                                            /                                       /  49   \/ 194097                               | |         /                                       /  49   \/ 194097         /                                            /                                       /  49   \/ 194097                               |
|      /                                   3*3 /   -- + ----------       /                 /                                   3*3 /   -- + ----------                                                         | |        /                 /                                   3*3 /   -- + ----------                                                              /                                   3*3 /   -- + ----------  | |        /                                   3*3 /   -- + ----------       /                                            /                                   3*3 /   -- + ----------                              | |        /                                   3*3 /   -- + ----------       /                                            /                                   3*3 /   -- + ----------                              |
|    \/                                      \/    4        36         \/                \/                                      \/    4        36                                                             | |      \/                \/                                      \/    4        36                                                                \/                                      \/    4        36      | |      \/                                      \/    4        36         \/                                           \/                                      \/    4        36                                  | |      \/                                      \/    4        36         \/                                           \/                                      \/    4        36                                  |
|x + --------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------|*|x + - ---------------------------------------------------------------------------------------------------------------------------------------- + ---------------------------------------------------------------|*|x + - --------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------|*|x + - --------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------------|
\                                   2                                                                                                     2                                                                    / \                                                                         2                                                                                                      2                               / \                                     2                                                                                                     2                                                                    / \                                     2                                                                                                     2                                                                    /

$$\left(x + \left(\frac{\sqrt{\frac{4}{3 \sqrt[3]{\frac{\sqrt{194097}}{36} + \frac{49}{4}}} + 2 \sqrt[3]{\frac{\sqrt{194097}}{36} + \frac{49}{4}}}}{2} - \frac{\sqrt{- \frac{28}{\sqrt{\frac{4}{3 \sqrt[3]{\frac{\sqrt{194097}}{36} + \frac{49}{4}}} + 2 \sqrt[3]{\frac{\sqrt{194097}}{36} + \frac{49}{4}}}} - 2 \sqrt[3]{\frac{\sqrt{194097}}{36} + \frac{49}{4}} - \frac{4}{3 \sqrt[3]{\frac{\sqrt{194097}}{36} + \frac{49}{4}}}}}{2}\right)\right) \left(x + \left(\frac{\sqrt{\frac{4}{3 \sqrt[3]{\frac{\sqrt{194097}}{36} + \frac{49}{4}}} + 2 \sqrt[3]{\frac{\sqrt{194097}}{36} + \frac{49}{4}}}}{2} + \frac{\sqrt{- \frac{28}{\sqrt{\frac{4}{3 \sqrt[3]{\frac{\sqrt{194097}}{36} + \frac{49}{4}}} + 2 \sqrt[3]{\frac{\sqrt{194097}}{36} + \frac{49}{4}}}} - 2 \sqrt[3]{\frac{\sqrt{194097}}{36} + \frac{49}{4}} - \frac{4}{3 \sqrt[3]{\frac{\sqrt{194097}}{36} + \frac{49}{4}}}}}{2}\right)\right) \left(x + \left(- \frac{\sqrt{\frac{4}{3 \sqrt[3]{\frac{\sqrt{194097}}{36} + \frac{49}{4}}} + 2 \sqrt[3]{\frac{\sqrt{194097}}{36} + \frac{49}{4}}}}{2} + \frac{\sqrt{- 2 \sqrt[3]{\frac{\sqrt{194097}}{36} + \frac{49}{4}} - \frac{4}{3 \sqrt[3]{\frac{\sqrt{194097}}{36} + \frac{49}{4}}} + \frac{28}{\sqrt{\frac{4}{3 \sqrt[3]{\frac{\sqrt{194097}}{36} + \frac{49}{4}}} + 2 \sqrt[3]{\frac{\sqrt{194097}}{36} + \frac{49}{4}}}}}}{2}\right)\right) \left(x + \left(- \frac{\sqrt{\frac{4}{3 \sqrt[3]{\frac{\sqrt{194097}}{36} + \frac{49}{4}}} + 2 \sqrt[3]{\frac{\sqrt{194097}}{36} + \frac{49}{4}}}}{2} - \frac{\sqrt{- 2 \sqrt[3]{\frac{\sqrt{194097}}{36} + \frac{49}{4}} - \frac{4}{3 \sqrt[3]{\frac{\sqrt{194097}}{36} + \frac{49}{4}}} + \frac{28}{\sqrt{\frac{4}{3 \sqrt[3]{\frac{\sqrt{194097}}{36} + \frac{49}{4}}} + 2 \sqrt[3]{\frac{\sqrt{194097}}{36} + \frac{49}{4}}}}}}{2}\right)\right)$$

Объединение рациональных выражений

       /      3\
-2 + x*\14 - x /

$$x \left(14 - x^{3}\right) - 2$$

Комбинаторика

      4       
-2 - x  + 14*x

$$- x^{4} + 14 x - 2$$