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Expression simplification/ Factorization polynomials/ x^9+x^7+x^5+x^3+x+1

Factor polynomial x^9+x^7+x^5+x^3+x+1

An expression to simplify:

The solution

You have entered [src] 
 9    7    5    3        
x  + x  + x  + x  + x + 1
$$\left(x + \left(x^{3} + \left(x^{5} + \left(x^{9} + x^{7}\right)\right)\right)\right) + 1$$ 
x^9 + x^7 + x^5 + x^3 + x + 1
General simplification [src] 
         3    5    7    9
1 + x + x  + x  + x  + x
$$x^{9} + x^{7} + x^{5} + x^{3} + x + 1$$ 
1 + x + x^3 + x^5 + x^7 + x^9
Factorization [src] 
/           / 9    7    5    3           \\ /           / 9    7    5    3           \\ /           / 9    7    5    3           \\ /           / 9    7    5    3           \\ /           / 9    7    5    3           \\ /           / 9    7    5    3           \\ /           / 9    7    5    3           \\ /           / 9    7    5    3           \\ /           / 9    7    5    3           \\
\x - CRootOf\x  + x  + x  + x  + x + 1, 0//*\x - CRootOf\x  + x  + x  + x  + x + 1, 1//*\x - CRootOf\x  + x  + x  + x  + x + 1, 2//*\x - CRootOf\x  + x  + x  + x  + x + 1, 3//*\x - CRootOf\x  + x  + x  + x  + x + 1, 4//*\x - CRootOf\x  + x  + x  + x  + x + 1, 5//*\x - CRootOf\x  + x  + x  + x  + x + 1, 6//*\x - CRootOf\x  + x  + x  + x  + x + 1, 7//*\x - CRootOf\x  + x  + x  + x  + x + 1, 8//
$$\left(x - \operatorname{CRootOf} {\left(x^{9} + x^{7} + x^{5} + x^{3} + x + 1, 0\right)}\right) \left(x - \operatorname{CRootOf} {\left(x^{9} + x^{7} + x^{5} + x^{3} + x + 1, 1\right)}\right) \left(x - \operatorname{CRootOf} {\left(x^{9} + x^{7} + x^{5} + x^{3} + x + 1, 2\right)}\right) \left(x - \operatorname{CRootOf} {\left(x^{9} + x^{7} + x^{5} + x^{3} + x + 1, 3\right)}\right) \left(x - \operatorname{CRootOf} {\left(x^{9} + x^{7} + x^{5} + x^{3} + x + 1, 4\right)}\right) \left(x - \operatorname{CRootOf} {\left(x^{9} + x^{7} + x^{5} + x^{3} + x + 1, 5\right)}\right) \left(x - \operatorname{CRootOf} {\left(x^{9} + x^{7} + x^{5} + x^{3} + x + 1, 6\right)}\right) \left(x - \operatorname{CRootOf} {\left(x^{9} + x^{7} + x^{5} + x^{3} + x + 1, 7\right)}\right) \left(x - \operatorname{CRootOf} {\left(x^{9} + x^{7} + x^{5} + x^{3} + x + 1, 8\right)}\right)$$ 
((((((((x - CRootOf(x^9 + x^7 + x^5 + x^3 + x + 1, 0))*(x - CRootOf(x^9 + x^7 + x^5 + x^3 + x + 1, 1)))*(x - CRootOf(x^9 + x^7 + x^5 + x^3 + x + 1, 2)))*(x - CRootOf(x^9 + x^7 + x^5 + x^3 + x + 1, 3)))*(x - CRootOf(x^9 + x^7 + x^5 + x^3 + x + 1, 4)))*(x - CRootOf(x^9 + x^7 + x^5 + x^3 + x + 1, 5)))*(x - CRootOf(x^9 + x^7 + x^5 + x^3 + x + 1, 6)))*(x - CRootOf(x^9 + x^7 + x^5 + x^3 + x + 1, 7)))*(x - CRootOf(x^9 + x^7 + x^5 + x^3 + x + 1, 8))
Rational denominator [src] 
         3    5    7    9
1 + x + x  + x  + x  + x
$$x^{9} + x^{7} + x^{5} + x^{3} + x + 1$$ 
1 + x + x^3 + x^5 + x^7 + x^9
Numerical answer [src] 
1.0 + x + x^3 + x^5 + x^7 + x^9
1.0 + x + x^3 + x^5 + x^7 + x^9
Assemble expression [src] 
         3    5    7    9
1 + x + x  + x  + x  + x
$$x^{9} + x^{7} + x^{5} + x^{3} + x + 1$$ 
1 + x + x^3 + x^5 + x^7 + x^9
Powers [src] 
         3    5    7    9
1 + x + x  + x  + x  + x
$$x^{9} + x^{7} + x^{5} + x^{3} + x + 1$$ 
1 + x + x^3 + x^5 + x^7 + x^9
Combining rational expressions [src] 
      /     2 /     2 /     2 /     2\\\\
1 + x*\1 + x *\1 + x *\1 + x *\1 + x ////
$$x \left(x^{2} \left(x^{2} \left(x^{2} \left(x^{2} + 1\right) + 1\right) + 1\right) + 1\right) + 1$$ 
1 + x*(1 + x^2*(1 + x^2*(1 + x^2*(1 + x^2))))
Combinatorics [src] 
         3    5    7    9
1 + x + x  + x  + x  + x
$$x^{9} + x^{7} + x^{5} + x^{3} + x + 1$$ 
1 + x + x^3 + x^5 + x^7 + x^9
Common denominator [src] 
         3    5    7    9
1 + x + x  + x  + x  + x
$$x^{9} + x^{7} + x^{5} + x^{3} + x + 1$$ 
1 + x + x^3 + x^5 + x^7 + x^9
Trigonometric part [src] 
         3    5    7    9
1 + x + x  + x  + x  + x
$$x^{9} + x^{7} + x^{5} + x^{3} + x + 1$$ 
1 + x + x^3 + x^5 + x^7 + x^9
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