Разложение на множители
[src]
/ ___\ / ___\
| 3 I*\/ 3 | | 3 I*\/ 3 |
1*(x + 1/3)*|x + -- + -------|*|x + -- - -------|
\ 14 42 / \ 14 42 /
$$1 \left(x + \frac{1}{3}\right) \left(x + \left(\frac{3}{14} + \frac{\sqrt{3} i}{42}\right)\right) \left(x + \left(\frac{3}{14} - \frac{\sqrt{3} i}{42}\right)\right)$$
((1*(x + 1/3))*(x + (3/14 + i*sqrt(3)/42)))*(x + (3/14 - i*sqrt(3)/42))
Подстановка условия
[src]
63*x^3 + 48*x^2 + 12*x + 1 при x = 1/3
3 2
63*x + 48*x + 12*x + 1
$$63 x^{3} + 48 x^{2} + 12 x + 1$$
2 3
1 + 12*x + 48*x + 63*x
$$63 x^{3} + 48 x^{2} + 12 x + 1$$
$$x = \frac{1}{3}$$
2 3
1 + 12*(1/3) + 48*(1/3) + 63*(1/3)
$$63 (1/3)^{3} + 48 (1/3)^{2} + 12 (1/3) + 1$$
$$\frac{38}{3}$$