Como escrever equação polinomial de raizes -1,1,2
Soluções para a tarefa
Respondido por
2
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!
Perguntas interessantes
Filosofia,
10 meses atrás
História,
10 meses atrás
Matemática,
10 meses atrás
Matemática,
1 ano atrás
Química,
1 ano atrás
Matemática,
1 ano atrás
Biologia,
1 ano atrás