Разложение на множители
[src] / ___________ ___________\ / ___________ ___________ ___________ ___________\ / ___________ ___________ ___________ ___________\
| / ___ / ___ | | / ___ / ___ / ___ / ___ | | / ___ / ___ / ___ / ___ |
/ ___________\ | 5 ____ / 5 \/ 5 ___ 5 ____ / 5 \/ 5 | | ___________ ___________ 5 ____ / 5 \/ 5 5 ____ / 5 \/ 5 ___ 5 ____ / 5 \/ 5 ___ 5 ____ / 5 \/ 5 | | ___________ ___________ 5 ____ / 5 \/ 5 5 ____ / 5 \/ 5 ___ 5 ____ / 5 \/ 5 ___ 5 ____ / 5 \/ 5 |
| 5 ____ ___ 5 ____ / ___ | | 5 ____ ___ 5 ____ I*\/ 24 * / - - ----- I*\/ 5 *\/ 24 * / - - ----- | | 5 ____ / ___ / ___ I*\/ 24 * / - - ----- I*\/ 24 * / - + ----- I*\/ 5 *\/ 24 * / - + ----- I*\/ 5 *\/ 24 * / - - ----- | | 5 ____ / ___ / ___ I*\/ 24 * / - - ----- I*\/ 24 * / - + ----- I*\/ 5 *\/ 24 * / - - ----- I*\/ 5 *\/ 24 * / - + ----- |
/ 5 ____\ | \/ 24 \/ 5 *\/ 24 5 ____ / 5 \/ 5 | | \/ 24 \/ 5 *\/ 24 \/ 8 8 \/ 8 8 | | \/ 24 5 ____ / 5 \/ 5 / 5 \/ 5 \/ 8 8 \/ 8 8 \/ 8 8 \/ 8 8 | | \/ 24 5 ____ / 5 \/ 5 / 5 \/ 5 \/ 8 8 \/ 8 8 \/ 8 8 \/ 8 8 |
x*\x + \/ 24 /*|x + - ------ - ------------ - I*\/ 24 * / - - ----- |*|x + - ------ + ------------ + ------------------------- + -------------------------------|*|x + - ------ - \/ 24 * / - - ----- * / - + ----- + ------------------------- + ------------------------- + ------------------------------- - -------------------------------|*|x + - ------ + \/ 24 * / - - ----- * / - + ----- + ------------------------- - ------------------------- - ------------------------------- - -------------------------------|
\ 4 4 \/ 8 8 / \ 4 4 2 2 / \ 4 \/ 8 8 \/ 8 8 4 4 4 4 / \ 4 \/ 8 8 \/ 8 8 4 4 4 4 /
$$x \left(x + \sqrt[5]{24}\right) \left(x + \left(- \frac{\sqrt[5]{24} \sqrt{5}}{4} - \frac{\sqrt[5]{24}}{4} - \sqrt[5]{24} i \sqrt{\frac{5}{8} - \frac{\sqrt{5}}{8}}\right)\right) \left(x + \left(- \frac{\sqrt[5]{24}}{4} + \frac{\sqrt[5]{24} \sqrt{5}}{4} + \frac{\sqrt[5]{24} i \sqrt{\frac{5}{8} - \frac{\sqrt{5}}{8}}}{2} + \frac{\sqrt[5]{24} \sqrt{5} i \sqrt{\frac{5}{8} - \frac{\sqrt{5}}{8}}}{2}\right)\right) \left(x + \left(- \sqrt[5]{24} \sqrt{\frac{5}{8} - \frac{\sqrt{5}}{8}} \sqrt{\frac{\sqrt{5}}{8} + \frac{5}{8}} - \frac{\sqrt[5]{24}}{4} - \frac{\sqrt[5]{24} \sqrt{5} i \sqrt{\frac{5}{8} - \frac{\sqrt{5}}{8}}}{4} + \frac{\sqrt[5]{24} i \sqrt{\frac{5}{8} - \frac{\sqrt{5}}{8}}}{4} + \frac{\sqrt[5]{24} i \sqrt{\frac{\sqrt{5}}{8} + \frac{5}{8}}}{4} + \frac{\sqrt[5]{24} \sqrt{5} i \sqrt{\frac{\sqrt{5}}{8} + \frac{5}{8}}}{4}\right)\right) \left(x + \left(- \frac{\sqrt[5]{24}}{4} + \sqrt[5]{24} \sqrt{\frac{5}{8} - \frac{\sqrt{5}}{8}} \sqrt{\frac{\sqrt{5}}{8} + \frac{5}{8}} - \frac{\sqrt[5]{24} \sqrt{5} i \sqrt{\frac{\sqrt{5}}{8} + \frac{5}{8}}}{4} - \frac{\sqrt[5]{24} \sqrt{5} i \sqrt{\frac{5}{8} - \frac{\sqrt{5}}{8}}}{4} - \frac{\sqrt[5]{24} i \sqrt{\frac{\sqrt{5}}{8} + \frac{5}{8}}}{4} + \frac{\sqrt[5]{24} i \sqrt{\frac{5}{8} - \frac{\sqrt{5}}{8}}}{4}\right)\right)$$