Question 10
The three roots $a,b,c$ of the polynomial $2x^3-7x^2-2x+12$ satisfy $4a=3(b+c)$. What is $a+bc$?
(A) $-\frac52$; (B) $1-\sqrt3$; (C) $0$; (D) $\frac74$; (E) $2+\sqrt5$.
(A) $-\frac52$; (B) $1-\sqrt3$; (C) $0$; (D) $\frac74$; (E) $2+\sqrt5$.