Qual o resultado da fatoração de x³+x²+x-3?
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BOA NOITE!
Esse polinomio tem raizes complexas.
Então 1 é uma de suas rizes.
![Uma~~ equacao~~do~~segundo~~grau.\\\\\\\
x^{2} +2x+3=0\\\\\\\
Suas~~raizes!\\\\\\\\
x=\dfrac{-2\pm 2i\sqrt{2}}{2}\\\\\\\\
x=2\bigg(\dfrac{-1\pm i\sqrt{2}}{2}\bigg)\\\\\\\\
x=\bigg(-1\pm i\sqrt{2}\bigg)\\\\\\\\](https://tex.z-dn.net/?f=+Uma%7E%7E+equacao%7E%7Edo%7E%7Esegundo%7E%7Egrau.%5C%5C%5C%5C%5C%5C%5C+%0A%0Ax%5E%7B2%7D+%2B2x%2B3%3D0%5C%5C%5C%5C%5C%5C%5C%0ASuas%7E%7Eraizes%21%5C%5C%5C%5C%5C%5C%5C%5C%0Ax%3D%5Cdfrac%7B-2%5Cpm+2i%5Csqrt%7B2%7D%7D%7B2%7D%5C%5C%5C%5C%5C%5C%5C%5C%0Ax%3D2%5Cbigg%28%5Cdfrac%7B-1%5Cpm+i%5Csqrt%7B2%7D%7D%7B2%7D%5Cbigg%29%5C%5C%5C%5C%5C%5C%5C%5C%0Ax%3D%5Cbigg%28-1%5Cpm+i%5Csqrt%7B2%7D%5Cbigg%29%5C%5C%5C%5C%5C%5C%5C%5C%0A%0A "Uma~~ equacao~~do~~segundo~~grau.\\\\\\\
x^{2} +2x+3=0\\\\\\\
Suas~~raizes!\\\\\\\\
x=\dfrac{-2\pm 2i\sqrt{2}}{2}\\\\\\\\
x=2\bigg(\dfrac{-1\pm i\sqrt{2}}{2}\bigg)\\\\\\\\
x=\bigg(-1\pm i\sqrt{2}\bigg)\\\\\\\\")
![Forma ~~fatorado!\\\\\\\
(x-1)\times(x+1-i \sqrt{2})\times(x+1+i \sqrt{2})](https://tex.z-dn.net/?f=Forma+%7E%7Efatorado%21%5C%5C%5C%5C%5C%5C%5C%0A%28x-1%29%5Ctimes%28x%2B1-i+%5Csqrt%7B2%7D%29%5Ctimes%28x%2B1%2Bi+%5Csqrt%7B2%7D%29++ "Forma ~~fatorado!\\\\\\\
(x-1)\times(x+1-i \sqrt{2})\times(x+1+i \sqrt{2})")
Boa noite!
Esse polinomio tem raizes complexas.
Então 1 é uma de suas rizes.
Boa noite!
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