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Factorizar el polinomio -2-3*x+2*x+5*x^3+4

Expresión a simplificar:

Solución

Ha introducido [src]
                    3    
-2 - 3*x + 2*x + 5*x  + 4
$$\left(5 x^{3} + \left(2 x + \left(- 3 x - 2\right)\right)\right) + 4$$
-2 - 3*x + 2*x + 5*x^3 + 4
Factorización [src]
/         _________________                                                           \ /         _________________                                                           \ /         _________________                           \
|        /          ______  /          ___\                                           | |        /          ______  /          ___\                                           | |        /          ______                            |
|       /  27   3*\/ 2010   |  1   I*\/ 3 |                                           | |       /  27   3*\/ 2010   |  1   I*\/ 3 |                                           | |       /  27   3*\/ 2010                             |
|    3 /   -- + ---------- *|- - - -------|                                           | |    3 /   -- + ---------- *|- - + -------|                                           | |    3 /   -- + ----------                            |
|    \/    5        25      \  2      2   /                      1                    | |    \/    5        25      \  2      2   /                      1                    | |    \/    5        25                   1            |
|x + -------------------------------------- + ----------------------------------------|*|x + -------------------------------------- + ----------------------------------------|*|x + ---------------------- + ------------------------|
|                      3                                             _________________| |                      3                                             _________________| |              3                     _________________|
|                                               /          ___\     /          ______ | |                                               /          ___\     /          ______ | |                                   /          ______ |
|                                               |  1   I*\/ 3 |    /  27   3*\/ 2010  | |                                               |  1   I*\/ 3 |    /  27   3*\/ 2010  | |                                  /  27   3*\/ 2010  |
|                                             5*|- - - -------|*3 /   -- + ---------- | |                                             5*|- - + -------|*3 /   -- + ---------- | |                             5*3 /   -- + ---------- |
\                                               \  2      2   / \/    5        25     / \                                               \  2      2   / \/    5        25     / \                               \/    5        25     /
$$\left(x + \left(\frac{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{3 \sqrt{2010}}{25} + \frac{27}{5}}}{3} + \frac{1}{5 \left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{3 \sqrt{2010}}{25} + \frac{27}{5}}}\right)\right) \left(x + \left(\frac{1}{5 \left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{3 \sqrt{2010}}{25} + \frac{27}{5}}} + \frac{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{3 \sqrt{2010}}{25} + \frac{27}{5}}}{3}\right)\right) \left(x + \left(\frac{1}{5 \sqrt[3]{\frac{3 \sqrt{2010}}{25} + \frac{27}{5}}} + \frac{\sqrt[3]{\frac{3 \sqrt{2010}}{25} + \frac{27}{5}}}{3}\right)\right)$$
((x + (27/5 + 3*sqrt(2010)/25)^(1/3)*(-1/2 - i*sqrt(3)/2)/3 + 1/(5*(-1/2 - i*sqrt(3)/2)*(27/5 + 3*sqrt(2010)/25)^(1/3)))*(x + (27/5 + 3*sqrt(2010)/25)^(1/3)*(-1/2 + i*sqrt(3)/2)/3 + 1/(5*(-1/2 + i*sqrt(3)/2)*(27/5 + 3*sqrt(2010)/25)^(1/3))))*(x + (27/5 + 3*sqrt(2010)/25)^(1/3)/3 + 1/(5*(27/5 + 3*sqrt(2010)/25)^(1/3)))
Simplificación general [src]
           3
2 - x + 5*x 
$$5 x^{3} - x + 2$$
2 - x + 5*x^3
Respuesta numérica [src]
2.0 + 5.0*x^3 - 1.0*x
2.0 + 5.0*x^3 - 1.0*x
Potencias [src]
           3
2 - x + 5*x 
$$5 x^{3} - x + 2$$
2 - x + 5*x^3
Compilar la expresión [src]
           3
2 - x + 5*x 
$$5 x^{3} - x + 2$$
2 - x + 5*x^3
Combinatoria [src]
           3
2 - x + 5*x 
$$5 x^{3} - x + 2$$
2 - x + 5*x^3
Parte trigonométrica [src]
           3
2 - x + 5*x 
$$5 x^{3} - x + 2$$
2 - x + 5*x^3
Denominador común [src]
           3
2 - x + 5*x 
$$5 x^{3} - x + 2$$
2 - x + 5*x^3
Denominador racional [src]
           3
2 - x + 5*x 
$$5 x^{3} - x + 2$$
2 - x + 5*x^3
Unión de expresiones racionales [src]
           3
2 - x + 5*x 
$$5 x^{3} - x + 2$$
2 - x + 5*x^3