Use synthetic division to find the quotient and remainder when \(5 x ^ { 4 } + 10 x ^ { 3 } - 12 x ^ { 2 } + 11 x + 7\) is divided by \(x + 3\) by completing the parts below.
(a) Complete this synthetic division table. (b) Write your answer in the following form: Quotient\(= \frac{Remainder}{x+ 3}\)
\(\frac { 5 x ^ { 4 } + 10 x ^ { 3 } - 12 x ^ { 2 } + 11 x + 7 } { x + 3 } = \)\(? + \frac { 1 } { x + 3 }\)