| Exam Board | CAIE |
| Module | P2 (Pure Mathematics 2) |
| Year | 2020 |
| Session | June |
| Topic | Factor & Remainder Theorem |
| Type | Two factors given |
2 The polynomial \(\mathrm { p } ( x )\) is defined by
$$\mathrm { p } ( x ) = 6 x ^ { 3 } + a x ^ { 2 } + 9 x + b$$
where \(a\) and \(b\) are constants. It is given that \(( x - 2 )\) and \(( 2 x + 1 )\) are factors of \(\mathrm { p } ( x )\).
Find the values of \(a\) and \(b\).