Sr Examen
Factorizar el polinomio x^5-x^4+x-1
Solución
Ha introducido
[src]
5 4 x - x + x - 1
$$\left(x + \left(x^{5} - x^{4}\right)\right) - 1$$
x^5 - x^4 + x - 1
Factorización
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/ ___ ___\ / ___ ___\ / ___ ___\ / ___ ___\
| \/ 2 I*\/ 2 | | \/ 2 I*\/ 2 | | \/ 2 I*\/ 2 | | \/ 2 I*\/ 2 |
(x - 1)*|x + ----- + -------|*|x + ----- - -------|*|x + - ----- + -------|*|x + - ----- - -------|
\ 2 2 / \ 2 2 / \ 2 2 / \ 2 2 /
$$\left(x - 1\right) \left(x + \left(\frac{\sqrt{2}}{2} + \frac{\sqrt{2} i}{2}\right)\right) \left(x + \left(\frac{\sqrt{2}}{2} - \frac{\sqrt{2} i}{2}\right)\right) \left(x + \left(- \frac{\sqrt{2}}{2} + \frac{\sqrt{2} i}{2}\right)\right) \left(x + \left(- \frac{\sqrt{2}}{2} - \frac{\sqrt{2} i}{2}\right)\right)$$
((((x - 1)*(x + sqrt(2)/2 + i*sqrt(2)/2))*(x + sqrt(2)/2 - i*sqrt(2)/2))*(x - sqrt(2)/2 + i*sqrt(2)/2))*(x - sqrt(2)/2 - i*sqrt(2)/2)
Unión de expresiones racionales
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/ 3 \ -1 + x*\1 + x *(-1 + x)/
$$x \left(x^{3} \left(x - 1\right) + 1\right) - 1$$
-1 + x*(1 + x^3*(-1 + x))
Combinatoria
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/ 4\ \1 + x /*(-1 + x)
$$\left(x - 1\right) \left(x^{4} + 1\right)$$
(1 + x^4)*(-1 + x)