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

Factorizar el polinomio x^3-x+2

Expresión a simplificar:

Solución

Ha introducido [src] 
 3        
x  - x + 2
$$\left(x^{3} - x\right) + 2$$ 
x^3 - x + 2
Factorización [src] 
/                                            _______________ /          ___\\ /                                            _______________ /          ___\\                                              
|                                         3 /          ____  |  1   I*\/ 3 || |                                         3 /          ____  |  1   I*\/ 3 || /                            _______________\
|                                         \/  27 + 3*\/ 78  *|- - - -------|| |                                         \/  27 + 3*\/ 78  *|- - + -------|| |                         3 /          ____ |
|                    1                                       \  2      2   /| |                    1                                       \  2      2   /| |            1            \/  27 + 3*\/ 78  |
|x + ---------------------------------- + ----------------------------------|*|x + ---------------------------------- + ----------------------------------|*|x + ------------------ + ------------------|
|       _______________ /          ___\                   3                 | |       _______________ /          ___\                   3                 | |       _______________           3         |
|    3 /          ____  |  1   I*\/ 3 |                                     | |    3 /          ____  |  1   I*\/ 3 |                                     | |    3 /          ____                      |
|    \/  27 + 3*\/ 78  *|- - - -------|                                     | |    \/  27 + 3*\/ 78  *|- - + -------|                                     | \    \/  27 + 3*\/ 78                       /
\                       \  2      2   /                                     / \                       \  2      2   /                                     /
$$\left(x + \left(\frac{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{3 \sqrt{78} + 27}}{3} + \frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{3 \sqrt{78} + 27}}\right)\right) \left(x + \left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{3 \sqrt{78} + 27}} + \frac{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{3 \sqrt{78} + 27}}{3}\right)\right) \left(x + \left(\frac{1}{\sqrt[3]{3 \sqrt{78} + 27}} + \frac{\sqrt[3]{3 \sqrt{78} + 27}}{3}\right)\right)$$ 
((x + 1/((27 + 3*sqrt(78))^(1/3)*(-1/2 - i*sqrt(3)/2)) + (27 + 3*sqrt(78))^(1/3)*(-1/2 - i*sqrt(3)/2)/3)*(x + 1/((27 + 3*sqrt(78))^(1/3)*(-1/2 + i*sqrt(3)/2)) + (27 + 3*sqrt(78))^(1/3)*(-1/2 + i*sqrt(3)/2)/3))*(x + (27 + 3*sqrt(78))^(-1/3) + (27 + 3*sqrt(78))^(1/3)/3)
Simplificación general [src] 
     3    
2 + x  - x
$$x^{3} - x + 2$$ 
2 + x^3 - x
Combinatoria [src] 
     3    
2 + x  - x
$$x^{3} - x + 2$$ 
2 + x^3 - x
Denominador racional [src] 
     3    
2 + x  - x
$$x^{3} - x + 2$$ 
2 + x^3 - x
Potencias [src] 
     3    
2 + x  - x
$$x^{3} - x + 2$$ 
2 + x^3 - x
Compilar la expresión [src] 
     3    
2 + x  - x
$$x^{3} - x + 2$$ 
2 + x^3 - x
Denominador común [src] 
     3    
2 + x  - x
$$x^{3} - x + 2$$ 
2 + x^3 - x
Unión de expresiones racionales [src] 
      /      2\
2 + x*\-1 + x /
$$x \left(x^{2} - 1\right) + 2$$ 
2 + x*(-1 + x^2)
Parte trigonométrica [src] 
     3    
2 + x  - x
$$x^{3} - x + 2$$ 
2 + x^3 - x
Respuesta numérica [src] 
2.0 + x^3 - x
2.0 + x^3 - x
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