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Factor polynomial x^3+x^2+x

An expression to simplify:

The solution

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