Mister Exam

Factor polynomial x^4+16

An expression to simplify:

The solution

You have entered [src]
 4     
x  + 16
$$x^{4} + 16$$
x^4 + 16
Factorization [src]
/      ___       ___\ /      ___       ___\ /        ___       ___\ /        ___       ___\
\x + \/ 2  + I*\/ 2 /*\x + \/ 2  - I*\/ 2 /*\x + - \/ 2  + I*\/ 2 /*\x + - \/ 2  - I*\/ 2 /
$$\left(x + \left(\sqrt{2} - \sqrt{2} i\right)\right) \left(x + \left(\sqrt{2} + \sqrt{2} i\right)\right) \left(x + \left(- \sqrt{2} + \sqrt{2} i\right)\right) \left(x + \left(- \sqrt{2} - \sqrt{2} i\right)\right)$$
(((x + sqrt(2) + i*sqrt(2))*(x + sqrt(2) - i*sqrt(2)))*(x - sqrt(2) + i*sqrt(2)))*(x - sqrt(2) - i*sqrt(2))
Numerical answer [src]
16.0 + x^4
16.0 + x^4