Como escrever equação polinomial de raizes -1,1,2
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Boa tarde!
Solução!
Para escrever uma equação polinomial basta substituir nessa formula.
![(x-x1).(x-x2).(x-x3)=0\\\\\\\\\
x1=-1\\\\
x2=1\\\\\
x3=2\\\\\\\\\
Agora~~~e~~so~~substituir~~e~~multiplicar.\\\\\\\\\
(x+1).(x-1).(x-2)=0\\\\\\\\\
( x^{2} -x+x-1)(x-2)=0\\\\\\\
( x^{2}-1)(x-2)=0\\\\\
x^{3}-2 x^{2} -x+2=0\\\\\\\\
\boxed{Resposta: x^{3}-2 x^{2} -x+2=0}](https://tex.z-dn.net/?f=%28x-x1%29.%28x-x2%29.%28x-x3%29%3D0%5C%5C%5C%5C%5C%5C%5C%5C%5C%0Ax1%3D-1%5C%5C%5C%5C%0Ax2%3D1%5C%5C%5C%5C%5C%0Ax3%3D2%5C%5C%5C%5C%5C%5C%5C%5C%5C%0AAgora%7E%7E%7Ee%7E%7Eso%7E%7Esubstituir%7E%7Ee%7E%7Emultiplicar.%5C%5C%5C%5C%5C%5C%5C%5C%5C%0A%28x%2B1%29.%28x-1%29.%28x-2%29%3D0%5C%5C%5C%5C%5C%5C%5C%5C%5C%0A%28+x%5E%7B2%7D+-x%2Bx-1%29%28x-2%29%3D0%5C%5C%5C%5C%5C%5C%5C%0A%28+x%5E%7B2%7D-1%29%28x-2%29%3D0%5C%5C%5C%5C%5C%0A+x%5E%7B3%7D-2+x%5E%7B2%7D+-x%2B2%3D0%5C%5C%5C%5C%5C%5C%5C%5C%0A%5Cboxed%7BResposta%3A+x%5E%7B3%7D-2+x%5E%7B2%7D+-x%2B2%3D0%7D%0A%0A%0A "(x-x1).(x-x2).(x-x3)=0\\\\\\\\\
x1=-1\\\\
x2=1\\\\\
x3=2\\\\\\\\\
Agora~~~e~~so~~substituir~~e~~multiplicar.\\\\\\\\\
(x+1).(x-1).(x-2)=0\\\\\\\\\
( x^{2} -x+x-1)(x-2)=0\\\\\\\
( x^{2}-1)(x-2)=0\\\\\
x^{3}-2 x^{2} -x+2=0\\\\\\\\
\boxed{Resposta: x^{3}-2 x^{2} -x+2=0}")
Boa tarde!
Bons estudos!
Solução!
Para escrever uma equação polinomial basta substituir nessa formula.
Boa tarde!
Bons estudos!
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