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Simplificación de expresiones/ Descomposición de multiplicadores/ x^3+2*x-11

Factorizar el polinomio x^3+2*x-11

Expresión a simplificar:

Solución

Ha introducido [src] 
 3           
x  + 2*x - 11
(x3+2x)−11\left(x^{3} + 2 x\right) - 11 
x^3 + 2*x - 11
Simplificación general [src] 
       3      
-11 + x  + 2*x
x3+2x−11x^{3} + 2 x - 11 
-11 + x^3 + 2*x
Factorización [src] 
/           _______________                                                         \ /           _______________                                                         \ /           _______________                         \
|          /        ______  /          ___\                                         | |          /        ______  /          ___\                                         | |          /        ______                          |
|         /  11   \/ 9897   |  1   I*\/ 3 |                     2                   | |         /  11   \/ 9897   |  1   I*\/ 3 |                     2                   | |         /  11   \/ 9897               2           |
|x + - 3 /   -- + -------- *|- - - -------| + --------------------------------------|*|x + - 3 /   -- + -------- *|- - + -------| + --------------------------------------|*|x + - 3 /   -- + --------  + ----------------------|
|      \/    2       18     \  2      2   /                          _______________| |      \/    2       18     \  2      2   /                          _______________| |      \/    2       18              _______________|
|                                               /          ___\     /        ______ | |                                               /          ___\     /        ______ | |                                   /        ______ |
|                                               |  1   I*\/ 3 |    /  11   \/ 9897  | |                                               |  1   I*\/ 3 |    /  11   \/ 9897  | |                                  /  11   \/ 9897  |
|                                             3*|- - - -------|*3 /   -- + -------- | |                                             3*|- - + -------|*3 /   -- + -------- | |                             3*3 /   -- + -------- |
\                                               \  2      2   / \/    2       18    / \                                               \  2      2   / \/    2       18    / \                               \/    2       18    /
(x+(23(−12−3i2)112+9897183−(−12−3i2)112+9897183))(x+(−(−12+3i2)112+9897183+23(−12+3i2)112+9897183))(x+(−112+9897183+23112+9897183))\left(x + \left(\frac{2}{3 \left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{11}{2} + \frac{\sqrt{9897}}{18}}} - \left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{11}{2} + \frac{\sqrt{9897}}{18}}\right)\right) \left(x + \left(- \left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{11}{2} + \frac{\sqrt{9897}}{18}} + \frac{2}{3 \left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{11}{2} + \frac{\sqrt{9897}}{18}}}\right)\right) \left(x + \left(- \sqrt[3]{\frac{11}{2} + \frac{\sqrt{9897}}{18}} + \frac{2}{3 \sqrt[3]{\frac{11}{2} + \frac{\sqrt{9897}}{18}}}\right)\right) 
((x - (11/2 + sqrt(9897)/18)^(1/3)*(-1/2 - i*sqrt(3)/2) + 2/(3*(-1/2 - i*sqrt(3)/2)*(11/2 + sqrt(9897)/18)^(1/3)))*(x - (11/2 + sqrt(9897)/18)^(1/3)*(-1/2 + i*sqrt(3)/2) + 2/(3*(-1/2 + i*sqrt(3)/2)*(11/2 + sqrt(9897)/18)^(1/3))))*(x - (11/2 + sqrt(9897)/18)^(1/3) + 2/(3*(11/2 + sqrt(9897)/18)^(1/3)))
Compilar la expresión [src] 
       3      
-11 + x  + 2*x
x3+2x−11x^{3} + 2 x - 11 
-11 + x^3 + 2*x
Combinatoria [src] 
       3      
-11 + x  + 2*x
x3+2x−11x^{3} + 2 x - 11 
-11 + x^3 + 2*x
Potencias [src] 
       3      
-11 + x  + 2*x
x3+2x−11x^{3} + 2 x - 11 
-11 + x^3 + 2*x
Respuesta numérica [src] 
-11.0 + x^3 + 2.0*x
-11.0 + x^3 + 2.0*x
Denominador común [src] 
       3      
-11 + x  + 2*x
x3+2x−11x^{3} + 2 x - 11 
-11 + x^3 + 2*x
Denominador racional [src] 
       3      
-11 + x  + 2*x
x3+2x−11x^{3} + 2 x - 11 
-11 + x^3 + 2*x
Parte trigonométrica [src] 
       3      
-11 + x  + 2*x
x3+2x−11x^{3} + 2 x - 11 
-11 + x^3 + 2*x
Unión de expresiones racionales [src] 
        /     2\
-11 + x*\2 + x /
x(x2+2)−11x \left(x^{2} + 2\right) - 11 
-11 + x*(2 + x^2)
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