Question 72
Let $P(x) = x^{3} + a x^{2} + b x + c$. Knowing that the sum of two of the roots of the polynomial is zero, which of the following relations between the coefficients of $P(x)$ is always true?
(A) $a b c = 0$
(B) $c = a b$
(C) $c = a + b$
(D) $b^{2} = a c$
(E) none of the previous answers is correct.
(A) $a b c = 0$
(B) $c = a b$
(C) $c = a + b$
(D) $b^{2} = a c$
(E) none of the previous answers is correct.