Mister Exam

Factor polynomial x^3+2

An expression to simplify:

The solution

You have entered [src]
 3    
x  + 2
$$x^{3} + 2$$
x^3 + 2
Factorization [src]
            /      3 ___     3 ___   ___\ /      3 ___     3 ___   ___\
/    3 ___\ |      \/ 2    I*\/ 2 *\/ 3 | |      \/ 2    I*\/ 2 *\/ 3 |
\x + \/ 2 /*|x + - ----- + -------------|*|x + - ----- - -------------|
            \        2           2      / \        2           2      /
$$\left(x + \sqrt[3]{2}\right) \left(x + \left(- \frac{\sqrt[3]{2}}{2} + \frac{\sqrt[3]{2} \sqrt{3} i}{2}\right)\right) \left(x + \left(- \frac{\sqrt[3]{2}}{2} - \frac{\sqrt[3]{2} \sqrt{3} i}{2}\right)\right)$$
((x + 2^(1/3))*(x - 2^(1/3)/2 + i*2^(1/3)*sqrt(3)/2))*(x - 2^(1/3)/2 - i*2^(1/3)*sqrt(3)/2)
Numerical answer [src]
2.0 + x^3
2.0 + x^3