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Factorizar el polinomio x^6+7*x^5+20*x^4+30*x^3+25*x^2+11*x+2

Expresión a simplificar:

Solución

Ha introducido [src]
 6      5       4       3       2           
x  + 7*x  + 20*x  + 30*x  + 25*x  + 11*x + 2
$$\left(11 x + \left(25 x^{2} + \left(30 x^{3} + \left(20 x^{4} + \left(x^{6} + 7 x^{5}\right)\right)\right)\right)\right) + 2$$
x^6 + 7*x^5 + 20*x^4 + 30*x^3 + 25*x^2 + 11*x + 2
Factorización [src]
(x + 2)*(x + 1)
$$\left(x + 1\right) \left(x + 2\right)$$
(x + 2)*(x + 1)
Simplificación general [src]
     6      5              4       2       3
2 + x  + 7*x  + 11*x + 20*x  + 25*x  + 30*x 
$$x^{6} + 7 x^{5} + 20 x^{4} + 30 x^{3} + 25 x^{2} + 11 x + 2$$
2 + x^6 + 7*x^5 + 11*x + 20*x^4 + 25*x^2 + 30*x^3
Parte trigonométrica [src]
     6      5              4       2       3
2 + x  + 7*x  + 11*x + 20*x  + 25*x  + 30*x 
$$x^{6} + 7 x^{5} + 20 x^{4} + 30 x^{3} + 25 x^{2} + 11 x + 2$$
2 + x^6 + 7*x^5 + 11*x + 20*x^4 + 25*x^2 + 30*x^3
Compilar la expresión [src]
     6      5              4       2       3
2 + x  + 7*x  + 11*x + 20*x  + 25*x  + 30*x 
$$x^{6} + 7 x^{5} + 20 x^{4} + 30 x^{3} + 25 x^{2} + 11 x + 2$$
2 + x^6 + 7*x^5 + 11*x + 20*x^4 + 25*x^2 + 30*x^3
Combinatoria [src]
       5        
(1 + x) *(2 + x)
$$\left(x + 1\right)^{5} \left(x + 2\right)$$
(1 + x)^5*(2 + x)
Denominador racional [src]
     6      5              4       2       3
2 + x  + 7*x  + 11*x + 20*x  + 25*x  + 30*x 
$$x^{6} + 7 x^{5} + 20 x^{4} + 30 x^{3} + 25 x^{2} + 11 x + 2$$
2 + x^6 + 7*x^5 + 11*x + 20*x^4 + 25*x^2 + 30*x^3
Denominador común [src]
     6      5              4       2       3
2 + x  + 7*x  + 11*x + 20*x  + 25*x  + 30*x 
$$x^{6} + 7 x^{5} + 20 x^{4} + 30 x^{3} + 25 x^{2} + 11 x + 2$$
2 + x^6 + 7*x^5 + 11*x + 20*x^4 + 25*x^2 + 30*x^3
Respuesta numérica [src]
2.0 + x^6 + 20.0*x^4 + 7.0*x^5 + 11.0*x + 30.0*x^3 + 25.0*x^2
2.0 + x^6 + 20.0*x^4 + 7.0*x^5 + 11.0*x + 30.0*x^3 + 25.0*x^2
Potencias [src]
     6      5              4       2       3
2 + x  + 7*x  + 11*x + 20*x  + 25*x  + 30*x 
$$x^{6} + 7 x^{5} + 20 x^{4} + 30 x^{3} + 25 x^{2} + 11 x + 2$$
2 + x^6 + 7*x^5 + 11*x + 20*x^4 + 25*x^2 + 30*x^3
Unión de expresiones racionales [src]
2 + x*(11 + x*(25 + x*(30 + x*(20 + x*(7 + x)))))
$$x \left(x \left(x \left(x \left(x \left(x + 7\right) + 20\right) + 30\right) + 25\right) + 11\right) + 2$$
2 + x*(11 + x*(25 + x*(30 + x*(20 + x*(7 + x)))))