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Expression simplification/ Factorization polynomials/ -x^5-x

Factor polynomial -x^5-x

An expression to simplify:

The solution

You have entered [src] 
   5    
- x  - x
$$- x^{5} - x$$ 
-x^5 - x
Factorization [src] 
  /      ___       ___\ /      ___       ___\ /        ___       ___\ /        ___       ___\
  |    \/ 2    I*\/ 2 | |    \/ 2    I*\/ 2 | |      \/ 2    I*\/ 2 | |      \/ 2    I*\/ 2 |
x*|x + ----- + -------|*|x + ----- - -------|*|x + - ----- + -------|*|x + - ----- - -------|
  \      2        2   / \      2        2   / \        2        2   / \        2        2   /
$$x \left(x + \left(\frac{\sqrt{2}}{2} + \frac{\sqrt{2} i}{2}\right)\right) \left(x + \left(\frac{\sqrt{2}}{2} - \frac{\sqrt{2} i}{2}\right)\right) \left(x + \left(- \frac{\sqrt{2}}{2} + \frac{\sqrt{2} i}{2}\right)\right) \left(x + \left(- \frac{\sqrt{2}}{2} - \frac{\sqrt{2} i}{2}\right)\right)$$ 
(((x*(x + sqrt(2)/2 + i*sqrt(2)/2))*(x + sqrt(2)/2 - i*sqrt(2)/2))*(x - sqrt(2)/2 + i*sqrt(2)/2))*(x - sqrt(2)/2 - i*sqrt(2)/2)
Combinatorics [src] 
   /     4\
-x*\1 + x /
$$- x \left(x^{4} + 1\right)$$ 
-x*(1 + x^4)
Combining rational expressions [src] 
  /      4\
x*\-1 - x /
$$x \left(- x^{4} - 1\right)$$ 
x*(-1 - x^4)
Numerical answer [src] 
-x - x^5
-x - x^5
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