1.
$$f ( x ) = x ^ { 4 } + a x ^ { 3 } - 3 x ^ { 2 } + b x + 5$$
where \(a\) and \(b\) are constants.
When \(\mathrm { f } ( x )\) is divided by ( \(x + 1\) ), the remainder is 4
- Show that \(a + b = - 1\)
When \(\mathrm { f } ( x )\) is divided by ( \(x - 2\) ), the remainder is - 23
- Find the value of \(a\) and the value of \(b\).