Question

Considere os polinômios 6x⁴-5x³+12x²-4x+12 /3x²-x+1. determine o quociente e o resto.

Answer 1

Resposta:

$Q(x)=2x^2-x+3$

$R(x)=9$

Explicação passo-a-passo:

$.~~6x^4-5x^3+12x^2-4x+12~~~~~~~~|~3x^2-x+1\\-6x^4+2x^3-2x^2~~~~~~~~~~~~~~~~~~~~~~~~~2x^2-x+3\\-------------\\.~~~~~~-3x^3+10x^2-4x+12\\~~~~~~~~+3x^3-x^2+x\\-------------\\.~~~~~~~~~~~~~~~~9x^2-3x+12\\~~~~~~~~~~~~~~~-9x^2+3x-3\\-------------\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~9$