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