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Expression simplification/ Factorization polynomials/ x^5+x-8

Factor polynomial x^5+x-8

An expression to simplify:

The solution

You have entered [src] 
 5        
x  + x - 8
$$\left(x^{5} + x\right) - 8$$ 
x^5 + x - 8
General simplification [src] 
          5
-8 + x + x
$$x^{5} + x - 8$$ 
-8 + x + x^5
Factorization [src] 
/           / 5           \\ /           / 5           \\ /           / 5           \\ /           / 5           \\ /           / 5           \\
\x - CRootOf\x  + x - 8, 0//*\x - CRootOf\x  + x - 8, 1//*\x - CRootOf\x  + x - 8, 2//*\x - CRootOf\x  + x - 8, 3//*\x - CRootOf\x  + x - 8, 4//
$$\left(x - \operatorname{CRootOf} {\left(x^{5} + x - 8, 0\right)}\right) \left(x - \operatorname{CRootOf} {\left(x^{5} + x - 8, 1\right)}\right) \left(x - \operatorname{CRootOf} {\left(x^{5} + x - 8, 2\right)}\right) \left(x - \operatorname{CRootOf} {\left(x^{5} + x - 8, 3\right)}\right) \left(x - \operatorname{CRootOf} {\left(x^{5} + x - 8, 4\right)}\right)$$ 
((((x - CRootOf(x^5 + x - 8, 0))*(x - CRootOf(x^5 + x - 8, 1)))*(x - CRootOf(x^5 + x - 8, 2)))*(x - CRootOf(x^5 + x - 8, 3)))*(x - CRootOf(x^5 + x - 8, 4))
Rational denominator [src] 
          5
-8 + x + x
$$x^{5} + x - 8$$ 
-8 + x + x^5
Combining rational expressions [src] 
       /     4\
-8 + x*\1 + x /
$$x \left(x^{4} + 1\right) - 8$$ 
-8 + x*(1 + x^4)
Trigonometric part [src] 
          5
-8 + x + x
$$x^{5} + x - 8$$ 
-8 + x + x^5
Powers [src] 
          5
-8 + x + x
$$x^{5} + x - 8$$ 
-8 + x + x^5
Numerical answer [src] 
-8.0 + x + x^5
-8.0 + x + x^5
Common denominator [src] 
          5
-8 + x + x
$$x^{5} + x - 8$$ 
-8 + x + x^5
Assemble expression [src] 
          5
-8 + x + x
$$x^{5} + x - 8$$ 
-8 + x + x^5
Combinatorics [src] 
          5
-8 + x + x
$$x^{5} + x - 8$$ 
-8 + x + x^5
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