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Expression simplification/ Factorization polynomials/ x+x^7/7

Factor polynomial x+x^7/7

An expression to simplify:

The solution

You have entered [src] 
     7
    x 
x + --
    7
$$\frac{x^{7}}{7} + x$$ 
x + x^7/7
Factorization [src] 
                              /      6 ___     ___ 6 ___\ /        6 ___     ___ 6 ___\ /        ___ 6 ___     6 ___\ /        6 ___     ___ 6 ___\
  /      6 ___\ /      6 ___\ |    I*\/ 7    \/ 3 *\/ 7 | |      I*\/ 7    \/ 3 *\/ 7 | |      \/ 3 *\/ 7    I*\/ 7 | |      I*\/ 7    \/ 3 *\/ 7 |
x*\x + I*\/ 7 /*\x - I*\/ 7 /*|x + ------- + -----------|*|x + - ------- + -----------|*|x + - ----------- + -------|*|x + - ------- - -----------|
                              \       2           2     / \         2           2     / \           2           2   / \         2           2     /
$$x \left(x + \sqrt[6]{7} i\right) \left(x - \sqrt[6]{7} i\right) \left(x + \left(\frac{\sqrt{3} \sqrt[6]{7}}{2} + \frac{\sqrt[6]{7} i}{2}\right)\right) \left(x + \left(\frac{\sqrt{3} \sqrt[6]{7}}{2} - \frac{\sqrt[6]{7} i}{2}\right)\right) \left(x + \left(- \frac{\sqrt{3} \sqrt[6]{7}}{2} + \frac{\sqrt[6]{7} i}{2}\right)\right) \left(x + \left(- \frac{\sqrt{3} \sqrt[6]{7}}{2} - \frac{\sqrt[6]{7} i}{2}\right)\right)$$ 
(((((x*(x + i*7^(1/6)))*(x - i*7^(1/6)))*(x + i*7^(1/6)/2 + sqrt(3)*7^(1/6)/2))*(x - i*7^(1/6)/2 + sqrt(3)*7^(1/6)/2))*(x - sqrt(3)*7^(1/6)/2 + i*7^(1/6)/2))*(x - i*7^(1/6)/2 - sqrt(3)*7^(1/6)/2)
Fraction decomposition [src] 
x + x^7/7
$$\frac{x^{7}}{7} + x$$ 
     7
    x 
x + --
    7
Numerical answer [src] 
x + 0.142857142857143*x^7
x + 0.142857142857143*x^7
Rational denominator [src] 
 7      
x  + 7*x
--------
   7
$$\frac{x^{7} + 7 x}{7}$$ 
(x^7 + 7*x)/7
Combinatorics [src] 
  /     6\
x*\7 + x /
----------
    7
$$\frac{x \left(x^{6} + 7\right)}{7}$$ 
x*(7 + x^6)/7
Combining rational expressions [src] 
  /     6\
x*\7 + x /
----------
    7
$$\frac{x \left(x^{6} + 7\right)}{7}$$ 
x*(7 + x^6)/7
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