Respuesta:
1. [tex]\left(x+1\right)\left(x^2+1\right)[/tex]
2. [tex]\left(-5.79657\dots ,\:-1316.79971\dots \right)[/tex]
Explicación paso a paso:
1. Procedimiento:
[tex]1+x+x^2+x^3\\\\=\left(x^3+x^2\right)+\left(x+1\right)\\\\=\left(x+1\right)+x^2\left(x+1\right)\\\\=\left(x+1\right)\left(x^2+1\right)[/tex]
2. Procedimiento:
[tex]4x^3+144x-160+x^4-20x^2\\\\4x^3+144x-160+x^4-20x^2:\quad \mathrm{X\:intersecta}:\:\left(1.25825\dots ,\:0\right),\:\left(-8.55823\dots \\,\:0\right),\:\mathrm\\\\{Y\:intersecta}:\:\left(0,\:-160\right)\\\\x^3+144x-160+x^4-20x^2:\quad \mathrm {Minimo}\left(-5.79657\dots ,\:-1316.79971\dots \right)[/tex]
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Verified answer
Respuesta:
1. [tex]\left(x+1\right)\left(x^2+1\right)[/tex]
2. [tex]\left(-5.79657\dots ,\:-1316.79971\dots \right)[/tex]
Explicación paso a paso:
1. Procedimiento:
[tex]1+x+x^2+x^3\\\\=\left(x^3+x^2\right)+\left(x+1\right)\\\\=\left(x+1\right)+x^2\left(x+1\right)\\\\=\left(x+1\right)\left(x^2+1\right)[/tex]
2. Procedimiento:
[tex]4x^3+144x-160+x^4-20x^2\\\\4x^3+144x-160+x^4-20x^2:\quad \mathrm{X\:intersecta}:\:\left(1.25825\dots ,\:0\right),\:\left(-8.55823\dots \\,\:0\right),\:\mathrm\\\\{Y\:intersecta}:\:\left(0,\:-160\right)\\\\x^3+144x-160+x^4-20x^2:\quad \mathrm {Minimo}\left(-5.79657\dots ,\:-1316.79971\dots \right)[/tex]