Question

Determine o quociente e o resto da divisão de p(x)= 5x*2- 4x+2 por 3x-1

Answer 1

Resposta:

$\text{Q}(x)=\dfrac{5x}{3}-\dfrac{7}{9}$

$\text{R}(x)=\dfrac{11}{9}$

Explicação passo-a-passo:

$.~~5x^2-4x+2~~~~~~~~~~~~~~|~3x-1\\-5x^2+\dfrac{5x}{3}~~~~~~~~~~~~~~~~~~~~\dfrac{5x}{3}-\dfrac{7}{9}\\-------\\.~~~~~~~-\dfrac{7x}{3}+2\\~~~~~~~~+\dfrac{7x}{3}-\dfrac{7}{9}\\--------\\.~~~~~~~~~~~~~~~~~\dfrac{11}{9}$