Mister Exam

Factor polynomial x^3+4

An expression to simplify:

The solution

You have entered [src]
 3    
x  + 4
$$x^{3} + 4$$
x^3 + 4
Factorization [src]
           /       2/3      2/3   ___\ /       2/3      2/3   ___\
/     2/3\ |      2      I*2   *\/ 3 | |      2      I*2   *\/ 3 |
\x + 2   /*|x + - ---- + ------------|*|x + - ---- - ------------|
           \       2          2      / \       2          2      /
$$\left(x + 2^{\frac{2}{3}}\right) \left(x + \left(- \frac{2^{\frac{2}{3}}}{2} + \frac{2^{\frac{2}{3}} \sqrt{3} i}{2}\right)\right) \left(x + \left(- \frac{2^{\frac{2}{3}}}{2} - \frac{2^{\frac{2}{3}} \sqrt{3} i}{2}\right)\right)$$
((x + 2^(2/3))*(x - 2^(2/3)/2 + i*2^(2/3)*sqrt(3)/2))*(x - 2^(2/3)/2 - i*2^(2/3)*sqrt(3)/2)
Numerical answer [src]
4.0 + x^3
4.0 + x^3