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Simplificación de expresiones/ Descomposición de multiplicadores/ x^5-x^3+x^2-1

Factorizar el polinomio x^5-x^3+x^2-1

Expresión a simplificar:

Solución

Ha introducido [src] 
 5    3    2    
x  - x  + x  - 1
(x2+(x5−x3))−1\left(x^{2} + \left(x^{5} - x^{3}\right)\right) - 1 
x^5 - x^3 + x^2 - 1
Factorización [src] 
                /              ___\ /              ___\
                |      1   I*\/ 3 | |      1   I*\/ 3 |
(x + 1)*(x - 1)*|x + - - + -------|*|x + - - - -------|
                \      2      2   / \      2      2   /
(x−1)(x+1)(x+(−12+3i2))(x+(−12−3i2))\left(x - 1\right) \left(x + 1\right) \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 + 1)*(x - 1))*(x - 1/2 + i*sqrt(3)/2))*(x - 1/2 - i*sqrt(3)/2)
Simplificación general [src] 
      2    5    3
-1 + x  + x  - x
x5−x3+x2−1x^{5} - x^{3} + x^{2} - 1 
-1 + x^2 + x^5 - x^3
Denominador común [src] 
      2    5    3
-1 + x  + x  - x
x5−x3+x2−1x^{5} - x^{3} + x^{2} - 1 
-1 + x^2 + x^5 - x^3
Compilar la expresión [src] 
      2    5    3
-1 + x  + x  - x
x5−x3+x2−1x^{5} - x^{3} + x^{2} - 1 
-1 + x^2 + x^5 - x^3
Potencias [src] 
      2    5    3
-1 + x  + x  - x
x5−x3+x2−1x^{5} - x^{3} + x^{2} - 1 
-1 + x^2 + x^5 - x^3
Unión de expresiones racionales [src] 
      2 /      /      2\\
-1 + x *\1 + x*\-1 + x //
x2(x(x2−1)+1)−1x^{2} \left(x \left(x^{2} - 1\right) + 1\right) - 1 
-1 + x^2*(1 + x*(-1 + x^2))
Combinatoria [src] 
       2          /     2    \
(1 + x) *(-1 + x)*\1 + x  - x/
(x−1)(x+1)2(x2−x+1)\left(x - 1\right) \left(x + 1\right)^{2} \left(x^{2} - x + 1\right) 
(1 + x)^2*(-1 + x)*(1 + x^2 - x)
Parte trigonométrica [src] 
      2    5    3
-1 + x  + x  - x
x5−x3+x2−1x^{5} - x^{3} + x^{2} - 1 
-1 + x^2 + x^5 - x^3
Respuesta numérica [src] 
-1.0 + x^2 + x^5 - x^3
-1.0 + x^2 + x^5 - x^3
Denominador racional [src] 
      2    5    3
-1 + x  + x  - x
x5−x3+x2−1x^{5} - x^{3} + x^{2} - 1 
-1 + x^2 + x^5 - x^3
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