Sr Examen

Otras calculadoras

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

Factorizar el polinomio x^4+3

Expresión a simplificar:

Solución

Ha introducido [src] 
 4    
x  + 3
x4+3x^{4} + 3 
x^4 + 3
Factorización [src] 
/      ___ 4 ___       ___ 4 ___\ /      ___ 4 ___       ___ 4 ___\ /        ___ 4 ___       ___ 4 ___\ /        ___ 4 ___       ___ 4 ___\
|    \/ 2 *\/ 3    I*\/ 2 *\/ 3 | |    \/ 2 *\/ 3    I*\/ 2 *\/ 3 | |      \/ 2 *\/ 3    I*\/ 2 *\/ 3 | |      \/ 2 *\/ 3    I*\/ 2 *\/ 3 |
|x + ----------- + -------------|*|x + ----------- - -------------|*|x + - ----------- + -------------|*|x + - ----------- - -------------|
\         2              2      / \         2              2      / \           2              2      / \           2              2      /
(x+(2342−234i2))(x+(2342+234i2))(x+(−2342+234i2))(x+(−2342−234i2))\left(x + \left(\frac{\sqrt{2} \sqrt[4]{3}}{2} - \frac{\sqrt{2} \sqrt[4]{3} i}{2}\right)\right) \left(x + \left(\frac{\sqrt{2} \sqrt[4]{3}}{2} + \frac{\sqrt{2} \sqrt[4]{3} i}{2}\right)\right) \left(x + \left(- \frac{\sqrt{2} \sqrt[4]{3}}{2} + \frac{\sqrt{2} \sqrt[4]{3} i}{2}\right)\right) \left(x + \left(- \frac{\sqrt{2} \sqrt[4]{3}}{2} - \frac{\sqrt{2} \sqrt[4]{3} i}{2}\right)\right) 
(((x + sqrt(2)*3^(1/4)/2 + i*sqrt(2)*3^(1/4)/2)*(x + sqrt(2)*3^(1/4)/2 - i*sqrt(2)*3^(1/4)/2))*(x - sqrt(2)*3^(1/4)/2 + i*sqrt(2)*3^(1/4)/2))*(x - sqrt(2)*3^(1/4)/2 - i*sqrt(2)*3^(1/4)/2)
Respuesta numérica [src] 
3.0 + x^4
3.0 + x^4
    © Sr Examen – Калькулятор