Sr Examen
Simplificación de expresiones/
Descomposición de multiplicadores/
x^5-15*x^4+85*x^3-225*x^2-274*x+120
Factorizar el polinomio x^5-15*x^4+85*x^3-225*x^2-274*x+120
Solución
Ha introducido
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5 4 3 2 x - 15*x + 85*x - 225*x - 274*x + 120
$$\left(- 274 x + \left(- 225 x^{2} + \left(85 x^{3} + \left(x^{5} - 15 x^{4}\right)\right)\right)\right) + 120$$
x^5 - 15*x^4 + 85*x^3 - 225*x^2 - 274*x + 120
Simplificación general
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5 2 4 3 120 + x - 274*x - 225*x - 15*x + 85*x
$$x^{5} - 15 x^{4} + 85 x^{3} - 225 x^{2} - 274 x + 120$$
120 + x^5 - 274*x - 225*x^2 - 15*x^4 + 85*x^3
Factorización
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/ / 5 4 3 2 \\ / / 5 4 3 2 \\ / / 5 4 3 2 \\ / / 5 4 3 2 \\ / / 5 4 3 2 \\ \x - CRootOf\x - 15*x + 85*x - 225*x - 274*x + 120, 0//*\x - CRootOf\x - 15*x + 85*x - 225*x - 274*x + 120, 1//*\x - CRootOf\x - 15*x + 85*x - 225*x - 274*x + 120, 2//*\x - CRootOf\x - 15*x + 85*x - 225*x - 274*x + 120, 3//*\x - CRootOf\x - 15*x + 85*x - 225*x - 274*x + 120, 4//
$$\left(x - \operatorname{CRootOf} {\left(x^{5} - 15 x^{4} + 85 x^{3} - 225 x^{2} - 274 x + 120, 0\right)}\right) \left(x - \operatorname{CRootOf} {\left(x^{5} - 15 x^{4} + 85 x^{3} - 225 x^{2} - 274 x + 120, 1\right)}\right) \left(x - \operatorname{CRootOf} {\left(x^{5} - 15 x^{4} + 85 x^{3} - 225 x^{2} - 274 x + 120, 2\right)}\right) \left(x - \operatorname{CRootOf} {\left(x^{5} - 15 x^{4} + 85 x^{3} - 225 x^{2} - 274 x + 120, 3\right)}\right) \left(x - \operatorname{CRootOf} {\left(x^{5} - 15 x^{4} + 85 x^{3} - 225 x^{2} - 274 x + 120, 4\right)}\right)$$
((((x - CRootOf(x^5 - 15*x^4 + 85*x^3 - 225*x^2 - 274*x + 120, 0))*(x - CRootOf(x^5 - 15*x^4 + 85*x^3 - 225*x^2 - 274*x + 120, 1)))*(x - CRootOf(x^5 - 15*x^4 + 85*x^3 - 225*x^2 - 274*x + 120, 2)))*(x - CRootOf(x^5 - 15*x^4 + 85*x^3 - 225*x^2 - 274*x + 120, 3)))*(x - CRootOf(x^5 - 15*x^4 + 85*x^3 - 225*x^2 - 274*x + 120, 4))
Respuesta numérica
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120.0 + x^5 + 85.0*x^3 - 15.0*x^4 - 274.0*x - 225.0*x^2
120.0 + x^5 + 85.0*x^3 - 15.0*x^4 - 274.0*x - 225.0*x^2
Denominador racional
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5 2 4 3 120 + x - 274*x - 225*x - 15*x + 85*x
$$x^{5} - 15 x^{4} + 85 x^{3} - 225 x^{2} - 274 x + 120$$
120 + x^5 - 274*x - 225*x^2 - 15*x^4 + 85*x^3
Denominador común
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5 2 4 3 120 + x - 274*x - 225*x - 15*x + 85*x
$$x^{5} - 15 x^{4} + 85 x^{3} - 225 x^{2} - 274 x + 120$$
120 + x^5 - 274*x - 225*x^2 - 15*x^4 + 85*x^3
Unión de expresiones racionales
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120 + x*(-274 + x*(-225 + x*(85 + x*(-15 + x))))
$$x \left(x \left(x \left(x \left(x - 15\right) + 85\right) - 225\right) - 274\right) + 120$$
120 + x*(-274 + x*(-225 + x*(85 + x*(-15 + x))))
Potencias
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5 2 4 3 120 + x - 274*x - 225*x - 15*x + 85*x
$$x^{5} - 15 x^{4} + 85 x^{3} - 225 x^{2} - 274 x + 120$$
120 + x^5 - 274*x - 225*x^2 - 15*x^4 + 85*x^3
Combinatoria
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5 2 4 3 120 + x - 274*x - 225*x - 15*x + 85*x
$$x^{5} - 15 x^{4} + 85 x^{3} - 225 x^{2} - 274 x + 120$$
120 + x^5 - 274*x - 225*x^2 - 15*x^4 + 85*x^3
Compilar la expresión
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5 2 4 3 120 + x - 274*x - 225*x - 15*x + 85*x
$$x^{5} - 15 x^{4} + 85 x^{3} - 225 x^{2} - 274 x + 120$$
120 + x^5 - 274*x - 225*x^2 - 15*x^4 + 85*x^3
Parte trigonométrica
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5 2 4 3 120 + x - 274*x - 225*x - 15*x + 85*x
$$x^{5} - 15 x^{4} + 85 x^{3} - 225 x^{2} - 274 x + 120$$
120 + x^5 - 274*x - 225*x^2 - 15*x^4 + 85*x^3