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Expression simplification/ Factorization polynomials/ x+x*x^2+x+x^2

Factor polynomial x+x*x^2+x+x^2

An expression to simplify:

The solution

You have entered [src] 
       2        2
x + x*x  + x + x
$$x^{2} + \left(x + \left(x x^{2} + x\right)\right)$$ 
x + x*x^2 + x + x^2
Factorization [src] 
  /            ___\ /            ___\
  |    1   I*\/ 7 | |    1   I*\/ 7 |
x*|x + - + -------|*|x + - - -------|
  \    2      2   / \    2      2   /
$$x \left(x + \left(\frac{1}{2} + \frac{\sqrt{7} i}{2}\right)\right) \left(x + \left(\frac{1}{2} - \frac{\sqrt{7} i}{2}\right)\right)$$ 
(x*(x + 1/2 + i*sqrt(7)/2))*(x + 1/2 - i*sqrt(7)/2)
General simplification [src] 
  /         2\
x*\2 + x + x /
$$x \left(x^{2} + x + 2\right)$$ 
x*(2 + x + x^2)
Numerical answer [src] 
x^2 + x^3 + 2*x
x^2 + x^3 + 2*x
Assemble expression [src] 
 2    3      
x  + x  + 2*x
$$x^{3} + x^{2} + 2 x$$ 
x^2 + x^3 + 2*x
Combinatorics [src] 
  /         2\
x*\2 + x + x /
$$x \left(x^{2} + x + 2\right)$$ 
x*(2 + x + x^2)
Combining rational expressions [src] 
  /         2\
x*\2 + x + x /
$$x \left(x^{2} + x + 2\right)$$ 
x*(2 + x + x^2)
Common denominator [src] 
 2    3      
x  + x  + 2*x
$$x^{3} + x^{2} + 2 x$$ 
x^2 + x^3 + 2*x
Rational denominator [src] 
 2    3      
x  + x  + 2*x
$$x^{3} + x^{2} + 2 x$$ 
x^2 + x^3 + 2*x
Trigonometric part [src] 
 2    3      
x  + x  + 2*x
$$x^{3} + x^{2} + 2 x$$ 
x^2 + x^3 + 2*x
Powers [src] 
 2    3      
x  + x  + 2*x
$$x^{3} + x^{2} + 2 x$$ 
x^2 + x^3 + 2*x
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