Question

Fatorando ao máximo o polinômio x³ + 6x² - 19x - 24, obtém-se:
A) (x − 1) (x − 3) (x +8)
B)(x + 1) (x − 3) (x +8)
C)2 (x − 1) (x + 3) (x +8)
D)(x − 1) (x + 3) (x − 8)

Answer 1

Resposta:

letra b

Explicação passo-a-passo:

$x^{3} + 6x^{2} - 19x - 24\\x^{3} +x^{2} + 5x^{2} -19x -24x^{2} (x +1) + 5x^{2} -19x -24x^{2}(x +1) + 5x^{2} + 5x - 24x -24x^{2}(x +1) + 5x (x + 1) -24x -24x^{2} (x +1) + 5x (x + 1) -24(x + 1)(x + 1).(x^{2} + 5x - 24) (x + 1).(x^{2} - 3x +8x -24)(x + 1).( x^{2} -3 +8x -24 ) (x + 1). (x (x - 3) - 8(x - 3))(x + 1). (x - 3). (x - 8)$