Sr Examen
Factorizar el polinomio 5*x^7-15*x^3+10*x^5
Solución
Ha introducido
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7 3 5 5*x - 15*x + 10*x
$$10 x^{5} + \left(5 x^{7} - 15 x^{3}\right)$$
5*x^7 - 15*x^3 + 10*x^5
Factorización
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/ ___\ / ___\ (x + 1)*x*(x - 1)*\x + I*\/ 3 /*\x - I*\/ 3 /
$$x \left(x + 1\right) \left(x - 1\right) \left(x + \sqrt{3} i\right) \left(x - \sqrt{3} i\right)$$
((((x + 1)*x)*(x - 1))*(x + i*sqrt(3)))*(x - i*sqrt(3))
Simplificación general
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3 / 4 2\ 5*x *\-3 + x + 2*x /
$$5 x^{3} \left(x^{4} + 2 x^{2} - 3\right)$$
5*x^3*(-3 + x^4 + 2*x^2)
Unión de expresiones racionales
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3 / 4 2\ 5*x *\-3 + x + 2*x /
$$5 x^{3} \left(x^{4} + 2 x^{2} - 3\right)$$
5*x^3*(-3 + x^4 + 2*x^2)
Potencias
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3 7 5 - 15*x + 5*x + 10*x
$$5 x^{7} + 10 x^{5} - 15 x^{3}$$
-15*x^3 + 5*x^7 + 10*x^5
Parte trigonométrica
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3 7 5 - 15*x + 5*x + 10*x
$$5 x^{7} + 10 x^{5} - 15 x^{3}$$
-15*x^3 + 5*x^7 + 10*x^5
Denominador común
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3 7 5 - 15*x + 5*x + 10*x
$$5 x^{7} + 10 x^{5} - 15 x^{3}$$
-15*x^3 + 5*x^7 + 10*x^5
Combinatoria
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3 / 2\ 5*x *(1 + x)*(-1 + x)*\3 + x /
$$5 x^{3} \left(x - 1\right) \left(x + 1\right) \left(x^{2} + 3\right)$$
5*x^3*(1 + x)*(-1 + x)*(3 + x^2)
Denominador racional
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3 7 5 - 15*x + 5*x + 10*x
$$5 x^{7} + 10 x^{5} - 15 x^{3}$$
-15*x^3 + 5*x^7 + 10*x^5
Compilar la expresión
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3 7 5 - 15*x + 5*x + 10*x
$$5 x^{7} + 10 x^{5} - 15 x^{3}$$
-15*x^3 + 5*x^7 + 10*x^5