Find the value of a and b if (x - 1) and (x + 1) are factors of x4 + ax3 - 3x2 + 2x + b = ?

Answer: Option C

If (x - 1) and (x + 1) are the factors y equation then,
\begin{aligned} & x - 1 = 0 \\ & x = 1 \\ & \Rightarrow {\text{Put }}x = 1{\text{, we get }} \\ & 1 + a - 3 + 2 + b = 0 \\ & a + b = 0\,.....(i) \\ & \Rightarrow x + 1 = 0 \\ & \Rightarrow x = - 1 \\ & {\text{Put }}x = - 1,{\text{we get }} \\ & 1 - a - 3 - 2 + b = 0 \\ & b - a = 4\,.....(ii) \\ & {\text{After solving (i) & (ii),}} \\ & {\text{We get }} \\ & a = - 2,{\text{ }}b = 2 \\\end{aligned}