Sr Examen
Factorizar el polinomio z^3-1
Solución
Factorización
[src]
/ ___\ / ___\
| 1 I*\/ 3 | | 1 I*\/ 3 |
(x - 1)*|x + - + -------|*|x + - - -------|
\ 2 2 / \ 2 2 /
$$\left(x - 1\right) \left(x + \left(\frac{1}{2} + \frac{\sqrt{3} i}{2}\right)\right) \left(x + \left(\frac{1}{2} - \frac{\sqrt{3} i}{2}\right)\right)$$
((x - 1)*(x + 1/2 + i*sqrt(3)/2))*(x + 1/2 - i*sqrt(3)/2)
Combinatoria
[src]
/ 2\ (-1 + z)*\1 + z + z /
$$\left(z - 1\right) \left(z^{2} + z + 1\right)$$
(-1 + z)*(1 + z + z^2)