Sr Examen
Factorizar el polinomio z^3+27
Solución
Factorización
[src]
/ ___\ / ___\
| 3 3*I*\/ 3 | | 3 3*I*\/ 3 |
(x + 3)*|x + - - + ---------|*|x + - - - ---------|
\ 2 2 / \ 2 2 /
$$\left(x + 3\right) \left(x + \left(- \frac{3}{2} + \frac{3 \sqrt{3} i}{2}\right)\right) \left(x + \left(- \frac{3}{2} - \frac{3 \sqrt{3} i}{2}\right)\right)$$
((x + 3)*(x - 3/2 + 3*i*sqrt(3)/2))*(x - 3/2 - 3*i*sqrt(3)/2)
Combinatoria
[src]
/ 2 \ (3 + z)*\9 + z - 3*z/
$$\left(z + 3\right) \left(z^{2} - 3 z + 9\right)$$
(3 + z)*(9 + z^2 - 3*z)