Mister Exam

Factor polynomial x^3+1

An expression to simplify:

The solution

You have entered [src]
 3    
x  + 1
$$x^{3} + 1$$
x^3 + 1
Factorization [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)
Numerical answer [src]
1.0 + x^3
1.0 + x^3
Combinatorics [src]
        /     2    \
(1 + x)*\1 + x  - x/
$$\left(x + 1\right) \left(x^{2} - x + 1\right)$$
(1 + x)*(1 + x^2 - x)