5.
$$\frac { 2 x ^ { 2 } + 5 x - 10 } { ( x - 1 ) ( x + 2 ) } \equiv A + \frac { B } { x - 1 } + \frac { C } { x + 2 }$$
- Find the values of the constants \(A , B\) and \(C\).
- Hence, or otherwise, expand \(\frac { 2 x ^ { 2 } + 5 x - 10 } { ( x - 1 ) ( x + 2 ) }\) in ascending powers of \(x\), as far as the term in \(x ^ { 2 }\). Give each coefficient as a simplified fraction.