Question

2. Determine o quociente q(x), na divisão de f(x) = x³ - 1 por g(x) = x - 1.

a. (   ) q(x) =   x² - 2x + 1;
b. (   ) q(x) = 3x² + 5x - 1;
 c. (   ) q(x) =   x² +  x + 1;
d. (   ) q(x) = 4x² - 2x + 1;
 e. (   ) q(x) = 2x² + 3x + 1. 

Answer 1

p(x) = q(x)×d(x) + r(x)
r(1) = 1³ - 1 = 0
q(x) = p(x)/d(x) = (x³ - 1)/(x-1) = x² + x + 1
q(x) = x² + x + 1

Правильный ответ С.