Sr Examen

Otras calculadoras

Simplificación de expresiones/ Descomposición de multiplicadores/ x^4+x^3-x+1

Factorizar el polinomio x^4+x^3-x+1

Expresión a simplificar:

Solución

Ha introducido [src] 
 4    3        
x  + x  - x + 1
(−x+(x4+x3))+1\left(- x + \left(x^{4} + x^{3}\right)\right) + 1 
x^4 + x^3 - x + 1
Simplificación general [src] 
     3    4    
1 + x  + x  - x
x4+x3−x+1x^{4} + x^{3} - x + 1 
1 + x^3 + x^4 - x
Factorización [src] 
/                 _____________          \ /                           _____________\ /                           _____________\ /                           _____________\
|          ___   /         ___        ___| |            ___     ___   /         ___ | |            ___     ___   /         ___ | |            ___     ___   /         ___ |
|    1   \/ 2 *\/  5 - I*\/ 7     I*\/ 7 | |    1   I*\/ 7    \/ 2 *\/  5 - I*\/ 7  | |    1   I*\/ 7    \/ 2 *\/  5 + I*\/ 7  | |    1   I*\/ 7    \/ 2 *\/  5 + I*\/ 7  |
|x + - + ---------------------- - -------|*|x + - - ------- - ----------------------|*|x + - + ------- + ----------------------|*|x + - + ------- - ----------------------|
\    4             4                 4   / \    4      4                4           / \    4      4                4           / \    4      4                4           /
(x+(14−7i4−25−7i4))(x+(14−7i4+25−7i4))(x+(14+25+7i4+7i4))(x+(14−25+7i4+7i4))\left(x + \left(\frac{1}{4} - \frac{\sqrt{7} i}{4} - \frac{\sqrt{2} \sqrt{5 - \sqrt{7} i}}{4}\right)\right) \left(x + \left(\frac{1}{4} - \frac{\sqrt{7} i}{4} + \frac{\sqrt{2} \sqrt{5 - \sqrt{7} i}}{4}\right)\right) \left(x + \left(\frac{1}{4} + \frac{\sqrt{2} \sqrt{5 + \sqrt{7} i}}{4} + \frac{\sqrt{7} i}{4}\right)\right) \left(x + \left(\frac{1}{4} - \frac{\sqrt{2} \sqrt{5 + \sqrt{7} i}}{4} + \frac{\sqrt{7} i}{4}\right)\right) 
(((x + 1/4 + sqrt(2)*sqrt(5 - i*sqrt(7))/4 - i*sqrt(7)/4)*(x + 1/4 - i*sqrt(7)/4 - sqrt(2)*sqrt(5 - i*sqrt(7))/4))*(x + 1/4 + i*sqrt(7)/4 + sqrt(2)*sqrt(5 + i*sqrt(7))/4))*(x + 1/4 + i*sqrt(7)/4 - sqrt(2)*sqrt(5 + i*sqrt(7))/4)
Respuesta numérica [src] 
1.0 + x^3 + x^4 - x
1.0 + x^3 + x^4 - x
Parte trigonométrica [src] 
     3    4    
1 + x  + x  - x
x4+x3−x+1x^{4} + x^{3} - x + 1 
1 + x^3 + x^4 - x
Unión de expresiones racionales [src] 
      /      2        \
1 + x*\-1 + x *(1 + x)/
x(x2(x+1)−1)+1x \left(x^{2} \left(x + 1\right) - 1\right) + 1 
1 + x*(-1 + x^2*(1 + x))
Compilar la expresión [src] 
     3    4    
1 + x  + x  - x
x4+x3−x+1x^{4} + x^{3} - x + 1 
1 + x^3 + x^4 - x
Denominador común [src] 
     3    4    
1 + x  + x  - x
x4+x3−x+1x^{4} + x^{3} - x + 1 
1 + x^3 + x^4 - x
Potencias [src] 
     3    4    
1 + x  + x  - x
x4+x3−x+1x^{4} + x^{3} - x + 1 
1 + x^3 + x^4 - x
Combinatoria [src] 
     3    4    
1 + x  + x  - x
x4+x3−x+1x^{4} + x^{3} - x + 1 
1 + x^3 + x^4 - x
Denominador racional [src] 
     3    4    
1 + x  + x  - x
x4+x3−x+1x^{4} + x^{3} - x + 1 
1 + x^3 + x^4 - x
    © Sr Examen – Калькулятор