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

Expresión a simplificar:

Solución

Ha introducido [src]
 3    2    
x  - x  + 1
$$\left(x^{3} - x^{2}\right) + 1$$
x^3 - x^2 + 1
Simplificación general [src]
     3    2
1 + x  - x 
$$x^{3} - x^{2} + 1$$
1 + x^3 - x^2
Factorización [src]
/                                                        _______________                \ /                                                        _______________                \ /                                        _______________\
|                                                       /          ____  /          ___\| |                                                       /          ____  /          ___\| |                                       /          ____ |
|                                                      /  25   3*\/ 69   |  1   I*\/ 3 || |                                                      /  25   3*\/ 69   |  1   I*\/ 3 || |                                      /  25   3*\/ 69  |
|                                                   3 /   -- + -------- *|- - - -------|| |                                                   3 /   -- + -------- *|- - + -------|| |                                   3 /   -- + -------- |
|      1                     1                      \/    2       2      \  2      2   /| |      1                     1                      \/    2       2      \  2      2   /| |      1             1              \/    2       2     |
|x + - - + -------------------------------------- + ------------------------------------|*|x + - - + -------------------------------------- + ------------------------------------|*|x + - - + ---------------------- + --------------------|
|      3                          _______________                    3                  | |      3                          _______________                    3                  | |      3          _______________            3          |
|            /          ___\     /          ____                                        | |            /          ___\     /          ____                                        | |                /          ____                        |
|            |  1   I*\/ 3 |    /  25   3*\/ 69                                         | |            |  1   I*\/ 3 |    /  25   3*\/ 69                                         | |               /  25   3*\/ 69                         |
|          3*|- - - -------|*3 /   -- + --------                                        | |          3*|- - + -------|*3 /   -- + --------                                        | |          3*3 /   -- + --------                        |
\            \  2      2   / \/    2       2                                            / \            \  2      2   / \/    2       2                                            / \            \/    2       2                            /
$$\left(x + \left(- \frac{1}{3} + \frac{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{3 \sqrt{69}}{2} + \frac{25}{2}}}{3} + \frac{1}{3 \left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{3 \sqrt{69}}{2} + \frac{25}{2}}}\right)\right) \left(x + \left(- \frac{1}{3} + \frac{1}{3 \left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{3 \sqrt{69}}{2} + \frac{25}{2}}} + \frac{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{3 \sqrt{69}}{2} + \frac{25}{2}}}{3}\right)\right) \left(x + \left(- \frac{1}{3} + \frac{1}{3 \sqrt[3]{\frac{3 \sqrt{69}}{2} + \frac{25}{2}}} + \frac{\sqrt[3]{\frac{3 \sqrt{69}}{2} + \frac{25}{2}}}{3}\right)\right)$$
((x - 1/3 + 1/(3*(-1/2 - i*sqrt(3)/2)*(25/2 + 3*sqrt(69)/2)^(1/3)) + (25/2 + 3*sqrt(69)/2)^(1/3)*(-1/2 - i*sqrt(3)/2)/3)*(x - 1/3 + 1/(3*(-1/2 + i*sqrt(3)/2)*(25/2 + 3*sqrt(69)/2)^(1/3)) + (25/2 + 3*sqrt(69)/2)^(1/3)*(-1/2 + i*sqrt(3)/2)/3))*(x - 1/3 + 1/(3*(25/2 + 3*sqrt(69)/2)^(1/3)) + (25/2 + 3*sqrt(69)/2)^(1/3)/3)
Parte trigonométrica [src]
     3    2
1 + x  - x 
$$x^{3} - x^{2} + 1$$
1 + x^3 - x^2
Unión de expresiones racionales [src]
     2         
1 + x *(-1 + x)
$$x^{2} \left(x - 1\right) + 1$$
1 + x^2*(-1 + x)
Respuesta numérica [src]
1.0 + x^3 - x^2
1.0 + x^3 - x^2
Denominador racional [src]
     3    2
1 + x  - x 
$$x^{3} - x^{2} + 1$$
1 + x^3 - x^2
Combinatoria [src]
     3    2
1 + x  - x 
$$x^{3} - x^{2} + 1$$
1 + x^3 - x^2
Denominador común [src]
     3    2
1 + x  - x 
$$x^{3} - x^{2} + 1$$
1 + x^3 - x^2
Compilar la expresión [src]
     3    2
1 + x  - x 
$$x^{3} - x^{2} + 1$$
1 + x^3 - x^2
Potencias [src]
     3    2
1 + x  - x 
$$x^{3} - x^{2} + 1$$
1 + x^3 - x^2