Problem Statement
Polynomial f(x) satisfies \left(x \minus{} 1\right)f\left(x \plus{} 1\right) \minus{} \left(x \plus{} 2\right)f\left(x\right) \equal{} 0 for every x∈ℜ. If f\left(2\right) \equal{} 6, f\left({\tfrac{3}{2}} \right) \equal{} ?<spanclass=′latex−bold′>(A)</span> −6<spanclass=′latex−bold′>(B)</span> 0<spanclass=′latex−bold′>(C)</span> 23<spanclass=′latex−bold′>(D)</span> 815<spanclass=′latex−bold′>(E)</span> None