2.
$$f ( x ) = a x ^ { 3 } + 2 x ^ { 2 } + b x - 3$$
where \(a\) and \(b\) are constants.
When \(\mathrm { f } ( x )\) is divided by ( \(2 x - 1\) ) the remainder is 1
- Show that
$$a + 4 b = 28$$
When \(\mathrm { f } ( x )\) is divided by \(( x + 1 )\) the remainder is - 17
- Find the value of \(a\) and the value of \(b\).