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Factorizar el polinomio z^3+5*z^2+4*z-10

Expresión a simplificar:

Solución

Ha introducido [src]
 3      2           
z  + 5*z  + 4*z - 10
$$\left(4 z + \left(z^{3} + 5 z^{2}\right)\right) - 10$$
z^3 + 5*z^2 + 4*z - 10
Simplificación general [src]
       3            2
-10 + z  + 4*z + 5*z 
$$z^{3} + 5 z^{2} + 4 z - 10$$
-10 + z^3 + 4*z + 5*z^2
Factorización [src]
(x - 1)*(x + 3 + I)*(x + 3 - I)
$$\left(x - 1\right) \left(x + \left(3 + i\right)\right) \left(x + \left(3 - i\right)\right)$$
((x - 1)*(x + 3 + i))*(x + 3 - i)
Denominador racional [src]
       3            2
-10 + z  + 4*z + 5*z 
$$z^{3} + 5 z^{2} + 4 z - 10$$
-10 + z^3 + 4*z + 5*z^2
Parte trigonométrica [src]
       3            2
-10 + z  + 4*z + 5*z 
$$z^{3} + 5 z^{2} + 4 z - 10$$
-10 + z^3 + 4*z + 5*z^2
Respuesta numérica [src]
-10.0 + z^3 + 4.0*z + 5.0*z^2
-10.0 + z^3 + 4.0*z + 5.0*z^2
Compilar la expresión [src]
       3            2
-10 + z  + 4*z + 5*z 
$$z^{3} + 5 z^{2} + 4 z - 10$$
-10 + z^3 + 4*z + 5*z^2
Potencias [src]
       3            2
-10 + z  + 4*z + 5*z 
$$z^{3} + 5 z^{2} + 4 z - 10$$
-10 + z^3 + 4*z + 5*z^2
Combinatoria [src]
         /      2      \
(-1 + z)*\10 + z  + 6*z/
$$\left(z - 1\right) \left(z^{2} + 6 z + 10\right)$$
(-1 + z)*(10 + z^2 + 6*z)
Unión de expresiones racionales [src]
-10 + z*(4 + z*(5 + z))
$$z \left(z \left(z + 5\right) + 4\right) - 10$$
-10 + z*(4 + z*(5 + z))
Denominador común [src]
       3            2
-10 + z  + 4*z + 5*z 
$$z^{3} + 5 z^{2} + 4 z - 10$$
-10 + z^3 + 4*z + 5*z^2