Sr Examen

Otras calculadoras

Factorizar el polinomio x^3+x-3

Expresión a simplificar:

Solución

Ha introducido [src]
 3        
x  + x - 3
$$\left(x^{3} + x\right) - 3$$
x^3 + x - 3
Factorización [src]
/           _____________                                                       \ /           _____________                                                       \ /           _____________                       \
|          /       _____  /          ___\                                       | |          /       _____  /          ___\                                       | |          /       _____                        |
|         /  3   \/ 741   |  1   I*\/ 3 |                    1                  | |         /  3   \/ 741   |  1   I*\/ 3 |                    1                  | |         /  3   \/ 741              1          |
|x + - 3 /   - + ------- *|- - - -------| + ------------------------------------|*|x + - 3 /   - + ------- *|- - + -------| + ------------------------------------|*|x + - 3 /   - + -------  + --------------------|
|      \/    2      18    \  2      2   /                          _____________| |      \/    2      18    \  2      2   /                          _____________| |      \/    2      18             _____________|
|                                             /          ___\     /       _____ | |                                             /          ___\     /       _____ | |                                 /       _____ |
|                                             |  1   I*\/ 3 |    /  3   \/ 741  | |                                             |  1   I*\/ 3 |    /  3   \/ 741  | |                                /  3   \/ 741  |
|                                           3*|- - - -------|*3 /   - + ------- | |                                           3*|- - + -------|*3 /   - + ------- | |                           3*3 /   - + ------- |
\                                             \  2      2   / \/    2      18   / \                                             \  2      2   / \/    2      18   / \                             \/    2      18   /
$$\left(x + \left(\frac{1}{3 \left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{3}{2} + \frac{\sqrt{741}}{18}}} - \left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{3}{2} + \frac{\sqrt{741}}{18}}\right)\right) \left(x + \left(- \left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{3}{2} + \frac{\sqrt{741}}{18}} + \frac{1}{3 \left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{3}{2} + \frac{\sqrt{741}}{18}}}\right)\right) \left(x + \left(- \sqrt[3]{\frac{3}{2} + \frac{\sqrt{741}}{18}} + \frac{1}{3 \sqrt[3]{\frac{3}{2} + \frac{\sqrt{741}}{18}}}\right)\right)$$
((x - (3/2 + sqrt(741)/18)^(1/3)*(-1/2 - i*sqrt(3)/2) + 1/(3*(-1/2 - i*sqrt(3)/2)*(3/2 + sqrt(741)/18)^(1/3)))*(x - (3/2 + sqrt(741)/18)^(1/3)*(-1/2 + i*sqrt(3)/2) + 1/(3*(-1/2 + i*sqrt(3)/2)*(3/2 + sqrt(741)/18)^(1/3))))*(x - (3/2 + sqrt(741)/18)^(1/3) + 1/(3*(3/2 + sqrt(741)/18)^(1/3)))
Simplificación general [src]
          3
-3 + x + x 
$$x^{3} + x - 3$$
-3 + x + x^3
Parte trigonométrica [src]
          3
-3 + x + x 
$$x^{3} + x - 3$$
-3 + x + x^3
Denominador racional [src]
          3
-3 + x + x 
$$x^{3} + x - 3$$
-3 + x + x^3
Potencias [src]
          3
-3 + x + x 
$$x^{3} + x - 3$$
-3 + x + x^3
Combinatoria [src]
          3
-3 + x + x 
$$x^{3} + x - 3$$
-3 + x + x^3
Respuesta numérica [src]
-3.0 + x + x^3
-3.0 + x + x^3
Denominador común [src]
          3
-3 + x + x 
$$x^{3} + x - 3$$
-3 + x + x^3
Unión de expresiones racionales [src]
       /     2\
-3 + x*\1 + x /
$$x \left(x^{2} + 1\right) - 3$$
-3 + x*(1 + x^2)
Compilar la expresión [src]
          3
-3 + x + x 
$$x^{3} + x - 3$$
-3 + x + x^3