Sr Examen
Factorizar el polinomio x^4+7*x^3+10*x^2-7*x+1
Solución
Ha introducido
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4 3 2 x + 7*x + 10*x - 7*x + 1
$$\left(- 7 x + \left(10 x^{2} + \left(x^{4} + 7 x^{3}\right)\right)\right) + 1$$
x^4 + 7*x^3 + 10*x^2 - 7*x + 1
Factorización
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/ ____\ / ____\
/ ___\ | 3 \/ 13 | | 3 \/ 13 | / ___\
\x + 2 - \/ 5 /*|x + - - ------|*|x + - + ------|*\x + 2 + \/ 5 /
\ 2 2 / \ 2 2 /
$$\left(x + \left(\frac{3}{2} - \frac{\sqrt{13}}{2}\right)\right) \left(x + \left(2 - \sqrt{5}\right)\right) \left(x + \left(\frac{3}{2} + \frac{\sqrt{13}}{2}\right)\right) \left(x + \left(2 + \sqrt{5}\right)\right)$$
(((x + 2 - sqrt(5))*(x + 3/2 - sqrt(13)/2))*(x + 3/2 + sqrt(13)/2))*(x + 2 + sqrt(5))
Simplificación general
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4 3 2 1 + x - 7*x + 7*x + 10*x
$$x^{4} + 7 x^{3} + 10 x^{2} - 7 x + 1$$
1 + x^4 - 7*x + 7*x^3 + 10*x^2
Denominador común
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4 3 2 1 + x - 7*x + 7*x + 10*x
$$x^{4} + 7 x^{3} + 10 x^{2} - 7 x + 1$$
1 + x^4 - 7*x + 7*x^3 + 10*x^2
Denominador racional
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4 3 2 1 + x - 7*x + 7*x + 10*x
$$x^{4} + 7 x^{3} + 10 x^{2} - 7 x + 1$$
1 + x^4 - 7*x + 7*x^3 + 10*x^2
Respuesta numérica
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1.0 + x^4 + 10.0*x^2 + 7.0*x^3 - 7.0*x
1.0 + x^4 + 10.0*x^2 + 7.0*x^3 - 7.0*x
Parte trigonométrica
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4 3 2 1 + x - 7*x + 7*x + 10*x
$$x^{4} + 7 x^{3} + 10 x^{2} - 7 x + 1$$
1 + x^4 - 7*x + 7*x^3 + 10*x^2
Unión de expresiones racionales
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1 + x*(-7 + x*(10 + x*(7 + x)))
$$x \left(x \left(x \left(x + 7\right) + 10\right) - 7\right) + 1$$
1 + x*(-7 + x*(10 + x*(7 + x)))
Potencias
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4 3 2 1 + x - 7*x + 7*x + 10*x
$$x^{4} + 7 x^{3} + 10 x^{2} - 7 x + 1$$
1 + x^4 - 7*x + 7*x^3 + 10*x^2
Compilar la expresión
[src]
4 3 2 1 + x - 7*x + 7*x + 10*x
$$x^{4} + 7 x^{3} + 10 x^{2} - 7 x + 1$$
1 + x^4 - 7*x + 7*x^3 + 10*x^2
Combinatoria
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/ 2 \ / 2 \ \-1 + x + 3*x/*\-1 + x + 4*x/
$$\left(x^{2} + 3 x - 1\right) \left(x^{2} + 4 x - 1\right)$$
(-1 + x^2 + 3*x)*(-1 + x^2 + 4*x)