1. $$f ( x ) \equiv a x ^ { 3 } + b x ^ { 2 } - 7 x + 14 , \text { where } a \text { and } b \text { are constants. }$$ Given that when \(\mathrm { f } ( x )\) is divided by ( \(x - 1\) ) the remainder is 9 ,

1. write down an equation connecting \(a\) and \(b\). Given also that \(( x + 2 )\) is a factor of \(\mathrm { f } ( x )\),
2. find the values of \(a\) and \(b\).