Mister Exam

Factor polynomial x^4-2

An expression to simplify:

The solution

You have entered [src]
 4    
x  - 2
$$x^{4} - 2$$
x^4 - 2
Factorization [src]
/    4 ___\ /    4 ___\ /      4 ___\ /      4 ___\
\x + \/ 2 /*\x - \/ 2 /*\x + I*\/ 2 /*\x - I*\/ 2 /
$$\left(x - \sqrt[4]{2}\right) \left(x + \sqrt[4]{2}\right) \left(x + \sqrt[4]{2} i\right) \left(x - \sqrt[4]{2} i\right)$$
(((x + 2^(1/4))*(x - 2^(1/4)))*(x + i*2^(1/4)))*(x - i*2^(1/4))
Numerical answer [src]
-2.0 + x^4
-2.0 + x^4