Question

(UFSE) se -2 é raiz do polinômio f= 2x3+x2-8x-4, então a forma fatorada de f é:

Answer 1

$\\ \mathsf{f(x) = 2x^3 + x^2 - 8x - 4} \\\\ \mathsf{f(x) = x^2(2x + 1) - 4(2x + 1)} \\\\ \mathsf{f(x) = (2x + 1)[x^2 - 4]} \\\\ \boxed{\mathsf{f(x) = (2x + 1)(x + 2)(x - 2)}}$