Question

Se A(x) = x² – x + 1, B(x) = (x – 2)² e C(x) = -3x, calcule [A(x) + B(x).C(x)].

Answer 1

Resposta:

A(x) + [B(x).C(x)] =

x² - x + 1 + [(x - 2)² . (-3x)] =

x² - x + 1 + [(x² - 4x + 4) . (-3x)] =

x² -x + 1 + [-3x³ + 12x² - 12x] =

x² - x + 1 - 3x³ + 12x² - 12x =

- 3x³ + 13x² - 13x + 1