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

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

Expresión a simplificar:

Solución

Ha introducido [src] 
 3    2        
x  + x  - x - 3
$$\left(- x + \left(x^{3} + x^{2}\right)\right) - 3$$ 
x^3 + x^2 - x - 3
Simplificación general [src] 
      2    3    
-3 + x  + x  - x
$$x^{3} + x^{2} - x - 3$$ 
-3 + x^2 + x^3 - x
Factorización [src] 
/             ______________                                                        \ /             ______________                                                        \ /             ______________                        \
|            /        _____  /          ___\                                        | |            /        _____  /          ___\                                        | |            /        _____                         |
|    1      /  35   \/ 129   |  1   I*\/ 3 |                     4                  | |    1      /  35   \/ 129   |  1   I*\/ 3 |                     4                  | |    1      /  35   \/ 129               4          |
|x + - - 3 /   -- + ------- *|- - - -------| - -------------------------------------|*|x + - - 3 /   -- + ------- *|- - + -------| - -------------------------------------|*|x + - - 3 /   -- + -------  - ---------------------|
|    3   \/    27      9     \  2      2   /                          ______________| |    3   \/    27      9     \  2      2   /                          ______________| |    3   \/    27      9              ______________|
|                                                /          ___\     /        _____ | |                                                /          ___\     /        _____ | |                                    /        _____ |
|                                                |  1   I*\/ 3 |    /  35   \/ 129  | |                                                |  1   I*\/ 3 |    /  35   \/ 129  | |                                   /  35   \/ 129  |
|                                              9*|- - - -------|*3 /   -- + ------- | |                                              9*|- - + -------|*3 /   -- + ------- | |                              9*3 /   -- + ------- |
\                                                \  2      2   / \/    27      9    / \                                                \  2      2   / \/    27      9    / \                                \/    27      9    /
$$\left(x + \left(\frac{1}{3} - \frac{4}{9 \left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{\sqrt{129}}{9} + \frac{35}{27}}} - \left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{\sqrt{129}}{9} + \frac{35}{27}}\right)\right) \left(x + \left(\frac{1}{3} - \left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{\sqrt{129}}{9} + \frac{35}{27}} - \frac{4}{9 \left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{\sqrt{129}}{9} + \frac{35}{27}}}\right)\right) \left(x + \left(- \sqrt[3]{\frac{\sqrt{129}}{9} + \frac{35}{27}} - \frac{4}{9 \sqrt[3]{\frac{\sqrt{129}}{9} + \frac{35}{27}}} + \frac{1}{3}\right)\right)$$ 
((x + 1/3 - (35/27 + sqrt(129)/9)^(1/3)*(-1/2 - i*sqrt(3)/2) - 4/(9*(-1/2 - i*sqrt(3)/2)*(35/27 + sqrt(129)/9)^(1/3)))*(x + 1/3 - (35/27 + sqrt(129)/9)^(1/3)*(-1/2 + i*sqrt(3)/2) - 4/(9*(-1/2 + i*sqrt(3)/2)*(35/27 + sqrt(129)/9)^(1/3))))*(x + 1/3 - (35/27 + sqrt(129)/9)^(1/3) - 4/(9*(35/27 + sqrt(129)/9)^(1/3)))
Parte trigonométrica [src] 
      2    3    
-3 + x  + x  - x
$$x^{3} + x^{2} - x - 3$$ 
-3 + x^2 + x^3 - x
Unión de expresiones racionales [src] 
-3 + x*(-1 + x*(1 + x))
$$x \left(x \left(x + 1\right) - 1\right) - 3$$ 
-3 + x*(-1 + x*(1 + x))
Potencias [src] 
      2    3    
-3 + x  + x  - x
$$x^{3} + x^{2} - x - 3$$ 
-3 + x^2 + x^3 - x
Respuesta numérica [src] 
-3.0 + x^2 + x^3 - x
-3.0 + x^2 + x^3 - x
Combinatoria [src] 
      2    3    
-3 + x  + x  - x
$$x^{3} + x^{2} - x - 3$$ 
-3 + x^2 + x^3 - x
Denominador común [src] 
      2    3    
-3 + x  + x  - x
$$x^{3} + x^{2} - x - 3$$ 
-3 + x^2 + x^3 - x
Denominador racional [src] 
      2    3    
-3 + x  + x  - x
$$x^{3} + x^{2} - x - 3$$ 
-3 + x^2 + x^3 - x
Compilar la expresión [src] 
      2    3    
-3 + x  + x  - x
$$x^{3} + x^{2} - x - 3$$ 
-3 + x^2 + x^3 - x
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