\(f ( x ) = \frac { x ^ { 4 } + x ^ { 3 } - 13 x ^ { 2 } + 26 x - 17 } { x ^ { 2 } - 3 x + 3 } , x \in \mathbb { R }\).
Find the values of the constants \(A\), \(B\), \(C\) and \(D\) such that
$$f ( x ) = x ^ { 2 } + A x + B + \frac { C x + D } { x ^ { 2 } - 3 x + 3 }$$
The point \(P\) on the curve \(y = \mathrm { f } ( x )\) has \(x\)-coordinate 1.
Show that the normal to the curve \(y = \mathrm { f } ( x )\) at \(P\) has the equation
$$x + 5 y + 9 = 0$$