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Factorizar el polinomio x^4-x^3+4*x-16

Expresión a simplificar:

Solución

Ha introducido [src]
 4    3           
x  - x  + 4*x - 16
(4x+(x4x3))16\left(4 x + \left(x^{4} - x^{3}\right)\right) - 16
x^4 - x^3 + 4*x - 16
Simplificación general [src]
       4    3      
-16 + x  - x  + 4*x
x4x3+4x16x^{4} - x^{3} + 4 x - 16
-16 + x^4 - x^3 + 4*x
Factorización [src]
                /              ____\ /              ____\
                |      1   I*\/ 15 | |      1   I*\/ 15 |
(x + 2)*(x - 2)*|x + - - + --------|*|x + - - - --------|
                \      2      2    / \      2      2    /
(x2)(x+2)(x+(12+15i2))(x+(1215i2))\left(x - 2\right) \left(x + 2\right) \left(x + \left(- \frac{1}{2} + \frac{\sqrt{15} i}{2}\right)\right) \left(x + \left(- \frac{1}{2} - \frac{\sqrt{15} i}{2}\right)\right)
(((x + 2)*(x - 2))*(x - 1/2 + i*sqrt(15)/2))*(x - 1/2 - i*sqrt(15)/2)
Respuesta numérica [src]
-16.0 + x^4 - x^3 + 4.0*x
-16.0 + x^4 - x^3 + 4.0*x
Combinatoria [src]
                 /     2    \
(-2 + x)*(2 + x)*\4 + x  - x/
(x2)(x+2)(x2x+4)\left(x - 2\right) \left(x + 2\right) \left(x^{2} - x + 4\right)
(-2 + x)*(2 + x)*(4 + x^2 - x)
Unión de expresiones racionales [src]
        /     2         \
-16 + x*\4 + x *(-1 + x)/
x(x2(x1)+4)16x \left(x^{2} \left(x - 1\right) + 4\right) - 16
-16 + x*(4 + x^2*(-1 + x))
Denominador racional [src]
       4    3      
-16 + x  - x  + 4*x
x4x3+4x16x^{4} - x^{3} + 4 x - 16
-16 + x^4 - x^3 + 4*x
Potencias [src]
       4    3      
-16 + x  - x  + 4*x
x4x3+4x16x^{4} - x^{3} + 4 x - 16
-16 + x^4 - x^3 + 4*x
Parte trigonométrica [src]
       4    3      
-16 + x  - x  + 4*x
x4x3+4x16x^{4} - x^{3} + 4 x - 16
-16 + x^4 - x^3 + 4*x
Denominador común [src]
       4    3      
-16 + x  - x  + 4*x
x4x3+4x16x^{4} - x^{3} + 4 x - 16
-16 + x^4 - x^3 + 4*x
Compilar la expresión [src]
       4    3      
-16 + x  - x  + 4*x
x4x3+4x16x^{4} - x^{3} + 4 x - 16
-16 + x^4 - x^3 + 4*x