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Factor polynomial x^3-x^2+x-1

An expression to simplify:

The solution

You have entered [src]
 3    2        
x  - x  + x - 1
$$\left(x + \left(x^{3} - x^{2}\right)\right) - 1$$
x^3 - x^2 + x - 1
General simplification [src]
          3    2
-1 + x + x  - x 
$$x^{3} - x^{2} + x - 1$$
-1 + x + x^3 - x^2
Factorization [src]
(x - 1)*(x + I)*(x - I)
$$\left(x - 1\right) \left(x + i\right) \left(x - i\right)$$
((x - 1)*(x + i))*(x - i)
Trigonometric part [src]
          3    2
-1 + x + x  - x 
$$x^{3} - x^{2} + x - 1$$
-1 + x + x^3 - x^2
Assemble expression [src]
          3    2
-1 + x + x  - x 
$$x^{3} - x^{2} + x - 1$$
-1 + x + x^3 - x^2
Common denominator [src]
          3    2
-1 + x + x  - x 
$$x^{3} - x^{2} + x - 1$$
-1 + x + x^3 - x^2
Powers [src]
          3    2
-1 + x + x  - x 
$$x^{3} - x^{2} + x - 1$$
-1 + x + x^3 - x^2
Rational denominator [src]
          3    2
-1 + x + x  - x 
$$x^{3} - x^{2} + x - 1$$
-1 + x + x^3 - x^2
Numerical answer [src]
-1.0 + x + x^3 - x^2
-1.0 + x + x^3 - x^2
Combining rational expressions [src]
-1 + x*(1 + x*(-1 + x))
$$x \left(x \left(x - 1\right) + 1\right) - 1$$
-1 + x*(1 + x*(-1 + x))
Combinatorics [src]
/     2\         
\1 + x /*(-1 + x)
$$\left(x - 1\right) \left(x^{2} + 1\right)$$
(1 + x^2)*(-1 + x)