If x, y, z are the three factors of a3 - 7a - 6, then value of x + y + z will be?

Answer: Option A

$$\begin{array}{rl}& a^3-7a-6\\ & \left(a+1\right)\left(a^2-a-6\right)\\ & \left(a+1\right)\left(a+2\right)\left(a-3\right)\\ & \text{Now},\text{Sum of factors}\\ & \left(a+1\right)+a+2+a-3=3a\end{array}$$