If (x - 1) and (x + 3) are the factors of x2 + k1x + k2 then-

Answer: Option B

$$\begin{array}{rl}& \therefore \text{When}\left(x-1\right)=0\\ & x=1\\ & x^2+k_{1}x+k_2=0\\ & \Rightarrow 1+k_1+k_2=0\\ & \Rightarrow k_1+k_2=-1.......(i)\\ & \text{When}\left(x+3\right)=0\\ & x=-3\\ & 9-3k_1+k_2=0\\ & \Rightarrow -3k_1+k_2=-9.......(ii)\\ & \text{From equation (i) and (ii)}\\ & k_1=2,k_2=-3\end{array}$$