Sr Examen

Otras calculadoras

Simplificación de expresiones/ Descomposición de multiplicadores/ z^3+z^2/10-z/4-1/40

Factorizar el polinomio z^3+z^2/10-z/4-1/40

Expresión a simplificar:

Solución

Ha introducido [src] 
      2         
 3   z    z   1 
z  + -- - - - --
     10   4   40
(−z4+(z3+z210))−140\left(- \frac{z}{4} + \left(z^{3} + \frac{z^{2}}{10}\right)\right) - \frac{1}{40} 
z^3 + z^2/10 - z/4 - 1/40
Simplificación general [src] 
                 2
  1     3   z   z 
- -- + z  - - + --
  40        4   10
z3+z210−z4−140z^{3} + \frac{z^{2}}{10} - \frac{z}{4} - \frac{1}{40} 
-1/40 + z^3 - z/4 + z^2/10
Descomposición de una fracción [src] 
-1/40 + z^3 - z/4 + z^2/10
z3+z210−z4−140z^{3} + \frac{z^{2}}{10} - \frac{z}{4} - \frac{1}{40} 
                 2
  1     3   z   z 
- -- + z  - - + --
  40        4   10
Factorización [src] 
(x + 1/2)*(x + 1/10)*(x - 1/2)
(x+110)(x+12)(x−12)\left(x + \frac{1}{10}\right) \left(x + \frac{1}{2}\right) \left(x - \frac{1}{2}\right) 
((x + 1/2)*(x + 1/10))*(x - 1/2)
Parte trigonométrica [src] 
                 2
  1     3   z   z 
- -- + z  - - + --
  40        4   10
z3+z210−z4−140z^{3} + \frac{z^{2}}{10} - \frac{z}{4} - \frac{1}{40} 
-1/40 + z^3 - z/4 + z^2/10
Denominador común [src] 
                 2
  1     3   z   z 
- -- + z  - - + --
  40        4   10
z3+z210−z4−140z^{3} + \frac{z^{2}}{10} - \frac{z}{4} - \frac{1}{40} 
-1/40 + z^3 - z/4 + z^2/10
Denominador racional [src] 
                   2         3
-40 - 400*z + 160*z  + 1600*z 
------------------------------
             1600
1600z3+160z2−400z−401600\frac{1600 z^{3} + 160 z^{2} - 400 z - 40}{1600} 
(-40 - 400*z + 160*z^2 + 1600*z^3)/1600
Compilar la expresión [src] 
                 2
  1     3   z   z 
- -- + z  - - + --
  40        4   10
z3+z210−z4−140z^{3} + \frac{z^{2}}{10} - \frac{z}{4} - \frac{1}{40} 
-1/40 + z^3 - z/4 + z^2/10
Potencias [src] 
                 2
  1     3   z   z 
- -- + z  - - + --
  40        4   10
z3+z210−z4−140z^{3} + \frac{z^{2}}{10} - \frac{z}{4} - \frac{1}{40} 
-1/40 + z^3 - z/4 + z^2/10
Respuesta numérica [src] 
-0.025 + z^3 + 0.1*z^2 - 0.25*z
-0.025 + z^3 + 0.1*z^2 - 0.25*z
Combinatoria [src] 
(1 + 2*z)*(1 + 10*z)*(-1 + 2*z)
-------------------------------
               40
(2z−1)(2z+1)(10z+1)40\frac{\left(2 z - 1\right) \left(2 z + 1\right) \left(10 z + 1\right)}{40} 
(1 + 2*z)*(1 + 10*z)*(-1 + 2*z)/40
Unión de expresiones racionales [src] 
-1 + 2*z*(-5 + 2*z*(1 + 10*z))
------------------------------
              40
2z(2z(10z+1)−5)−140\frac{2 z \left(2 z \left(10 z + 1\right) - 5\right) - 1}{40} 
(-1 + 2*z*(-5 + 2*z*(1 + 10*z)))/40
    © Sr Examen – Калькулятор