| Exam Board | Edexcel |
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| Module | P2 (Pure Mathematics 2) |
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| Year | 2024 |
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| Session | January |
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| Topic | Factor & Remainder Theorem |
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| Type | Remainder condition |
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1.
$$f ( x ) = a x ^ { 3 } + 3 x ^ { 2 } - 8 x + 2 \quad \text { where } a \text { is a constant }$$
Given that when \(\mathrm { f } ( x )\) is divided by \(( x - 2 )\) the remainder is 3 , find the value of \(a\).