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

Ha introducido [src]

 3      2        
z  + 3*z  + z - 5

$$\left(z + \left(z^{3} + 3 z^{2}\right)\right) - 5$$

z^3 + 3*z^2 + z - 5

Factorización [src]

(x - 1)*(x + 2 + I)*(x + 2 - I)

$$\left(x - 1\right) \left(x + \left(2 + i\right)\right) \left(x + \left(2 - i\right)\right)$$

((x - 1)*(x + 2 + i))*(x + 2 - i)

Simplificación general [src]

          3      2
-5 + z + z  + 3*z

$$z^{3} + 3 z^{2} + z - 5$$

-5 + z + z^3 + 3*z^2

Denominador común [src]

          3      2
-5 + z + z  + 3*z

$$z^{3} + 3 z^{2} + z - 5$$

-5 + z + z^3 + 3*z^2

Combinatoria [src]

         /     2      \
(-1 + z)*\5 + z  + 4*z/

$$\left(z - 1\right) \left(z^{2} + 4 z + 5\right)$$

(-1 + z)*(5 + z^2 + 4*z)

Denominador racional [src]

          3      2
-5 + z + z  + 3*z

$$z^{3} + 3 z^{2} + z - 5$$

-5 + z + z^3 + 3*z^2

Compilar la expresión [src]

          3      2
-5 + z + z  + 3*z

$$z^{3} + 3 z^{2} + z - 5$$

-5 + z + z^3 + 3*z^2

Potencias [src]

          3      2
-5 + z + z  + 3*z

$$z^{3} + 3 z^{2} + z - 5$$

-5 + z + z^3 + 3*z^2

Parte trigonométrica [src]

          3      2
-5 + z + z  + 3*z

$$z^{3} + 3 z^{2} + z - 5$$

-5 + z + z^3 + 3*z^2

Unión de expresiones racionales [src]

-5 + z*(1 + z*(3 + z))

$$z \left(z \left(z + 3\right) + 1\right) - 5$$

-5 + z*(1 + z*(3 + z))

Respuesta numérica [src]

-5.0 + z + z^3 + 3.0*z^2

-5.0 + z + z^3 + 3.0*z^2