Solve the Problem $y = a x ^ { 4 } + b x ^ { 3 } + c x ^ { 2 } + d x + e , a \neq 0$

Essay

Solve the problem.
-What can you say about the inflection points of the quartic curve $y = a x ^ { 4 } + b x ^ { 3 } + c x ^ { 2 } + d x + e , a \neq 0$ ? Give reasons for your answer.