Mister Exam

Factor polynomial z^3+i

An expression to simplify:

The solution

You have entered [src]
 3    
z  + I
$$z^{3} + i$$
z^3 + i
Factorization [src]
        /          ___\ /        ___    \
        |    I   \/ 3 | |      \/ 3    I|
(x - I)*|x + - + -----|*|x + - ----- + -|
        \    2     2  / \        2     2/
$$\left(x - i\right) \left(x + \left(\frac{\sqrt{3}}{2} + \frac{i}{2}\right)\right) \left(x + \left(- \frac{\sqrt{3}}{2} + \frac{i}{2}\right)\right)$$
((x - i)*(x + i/2 + sqrt(3)/2))*(x - sqrt(3)/2 + i/2)
Numerical answer [src]
i + z^3
i + z^3