Question

Determine o quociente da divisão a seguir: (x³ - 6x² + 11x - 6) : (x - 1) * Help

Answer 1

Oie, Td Bom?!

$= \frac{x {}^{3} - 6x {}^{2} + 11x - 6}{x - 1}$

$= \frac{x {}^{3} - x {}^{2} - 5x {}^{2} + 5x + 6x - 6}{x - 1}$

$= \frac{x {}^{2} \: . \: (x - 1) - 5x \: . \: (x - 1) + 6(x - 1)}{x - 1}$

$= \frac{(x - 1) \: . \: (x {}^{2} - 5x + 6)}{x - 1}$

$= x {}^{2} - 5x + 6$

Att. Makaveli1996