Sr Examen
Otras calculadoras
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¿Cómo usar?
- Factorizar el polinomio:
- z^2-6*z+10
- z^2+d/z-2
- z^2-2*z+10
- z^3+11*z^2+36*z+26
- Descomponer al cuadrado:
- -y^4+y^2+8
- y^4+y^2-8
- -y^4-y^2-3
- y^4+y^2-2
- ¿cómo vas a descomponer esta expresión en fracciones?:
- (x*(x-1)^2)^(1/3)*((x-1)^2/3+x*(-2+2*x)/3)/(x*(x-1)^2)
- 1/(a*x-1)-1/(a*x+1)
- z/(z+4)^2-z/z^2-16
- (2*a+b)/(a^2-b^2)+1/(a+b)
- Derivada de:
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x^5+1
- Gráfico de la función y =:
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x^5+1
- Integral de d{x}:
- x^5+1
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Expresiones idénticas
- x^ cinco + uno
- x en el grado 5 más 1
- x en el grado cinco más uno
- x5+1
- x⁵+1
-
Expresiones semejantes
- x^5-1
Factorizar el polinomio x^5+1
Solución
Factorización
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/ ___________ ___________\ / ___________ ___________ ___________ ___________\ / ___________ ___________ ___________ ___________\
| / ___ / ___ | | / ___ / ___ / ___ / ___ | | / ___ / ___ / ___ / ___ |
/ ___________\ | / 5 \/ 5 ___ / 5 \/ 5 | | ___________ ___________ / 5 \/ 5 / 5 \/ 5 ___ / 5 \/ 5 ___ / 5 \/ 5 | | ___________ ___________ / 5 \/ 5 / 5 \/ 5 ___ / 5 \/ 5 ___ / 5 \/ 5 |
| ___ / ___ | | ___ I* / - - ----- I*\/ 5 * / - - ----- | | / ___ / ___ I* / - - ----- I* / - + ----- I*\/ 5 * / - + ----- I*\/ 5 * / - - ----- | | / ___ / ___ I* / - - ----- I* / - + ----- I*\/ 5 * / - - ----- I*\/ 5 * / - + ----- |
| 1 \/ 5 / 5 \/ 5 | | 1 \/ 5 \/ 8 8 \/ 8 8 | | 1 / 5 \/ 5 / 5 \/ 5 \/ 8 8 \/ 8 8 \/ 8 8 \/ 8 8 | | 1 / 5 \/ 5 / 5 \/ 5 \/ 8 8 \/ 8 8 \/ 8 8 \/ 8 8 |
(x + 1)*|x + - - - ----- - I* / - - ----- |*|x + - - + ----- + ------------------ + ------------------------|*|x + - - - / - - ----- * / - + ----- + ------------------ + ------------------ + ------------------------ - ------------------------|*|x + - - + / - - ----- * / - + ----- + ------------------ - ------------------ - ------------------------ - ------------------------|
\ 4 4 \/ 8 8 / \ 4 4 2 2 / \ 4 \/ 8 8 \/ 8 8 4 4 4 4 / \ 4 \/ 8 8 \/ 8 8 4 4 4 4 /
$$\left(x + 1\right) \left(x + \left(- \frac{\sqrt{5}}{4} - \frac{1}{4} - i \sqrt{\frac{5}{8} - \frac{\sqrt{5}}{8}}\right)\right) \left(x + \left(- \frac{1}{4} + \frac{\sqrt{5}}{4} + \frac{i \sqrt{\frac{5}{8} - \frac{\sqrt{5}}{8}}}{2} + \frac{\sqrt{5} i \sqrt{\frac{5}{8} - \frac{\sqrt{5}}{8}}}{2}\right)\right) \left(x + \left(- \sqrt{\frac{5}{8} - \frac{\sqrt{5}}{8}} \sqrt{\frac{\sqrt{5}}{8} + \frac{5}{8}} - \frac{1}{4} - \frac{\sqrt{5} i \sqrt{\frac{5}{8} - \frac{\sqrt{5}}{8}}}{4} + \frac{i \sqrt{\frac{5}{8} - \frac{\sqrt{5}}{8}}}{4} + \frac{i \sqrt{\frac{\sqrt{5}}{8} + \frac{5}{8}}}{4} + \frac{\sqrt{5} i \sqrt{\frac{\sqrt{5}}{8} + \frac{5}{8}}}{4}\right)\right) \left(x + \left(- \frac{1}{4} + \sqrt{\frac{5}{8} - \frac{\sqrt{5}}{8}} \sqrt{\frac{\sqrt{5}}{8} + \frac{5}{8}} - \frac{\sqrt{5} i \sqrt{\frac{\sqrt{5}}{8} + \frac{5}{8}}}{4} - \frac{\sqrt{5} i \sqrt{\frac{5}{8} - \frac{\sqrt{5}}{8}}}{4} - \frac{i \sqrt{\frac{\sqrt{5}}{8} + \frac{5}{8}}}{4} + \frac{i \sqrt{\frac{5}{8} - \frac{\sqrt{5}}{8}}}{4}\right)\right)$$
((((x + 1)*(x - 1/4 - sqrt(5)/4 - i*sqrt(5/8 - sqrt(5)/8)))*(x - 1/4 + sqrt(5)/4 + i*sqrt(5/8 - sqrt(5)/8)/2 + i*sqrt(5)*sqrt(5/8 - sqrt(5)/8)/2))*(x - 1/4 - sqrt(5/8 - sqrt(5)/8)*sqrt(5/8 + sqrt(5)/8) + i*sqrt(5/8 - sqrt(5)/8)/4 + i*sqrt(5/8 + sqrt(5)/8)/4 + i*sqrt(5)*sqrt(5/8 + sqrt(5)/8)/4 - i*sqrt(5)*sqrt(5/8 - sqrt(5)/8)/4))*(x - 1/4 + sqrt(5/8 - sqrt(5)/8)*sqrt(5/8 + sqrt(5)/8) + i*sqrt(5/8 - sqrt(5)/8)/4 - i*sqrt(5/8 + sqrt(5)/8)/4 - i*sqrt(5)*sqrt(5/8 - sqrt(5)/8)/4 - i*sqrt(5)*sqrt(5/8 + sqrt(5)/8)/4)
Combinatoria
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/ 2 4 3\ (1 + x)*\1 + x + x - x - x /
$$\left(x + 1\right) \left(x^{4} - x^{3} + x^{2} - x + 1\right)$$
(1 + x)*(1 + x^2 + x^4 - x - x^3)