| Exam Board | Edexcel |
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| Module | Paper 1 (Paper 1) |
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| Year | 2024 |
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| Session | June |
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| Topic | Factor & Remainder Theorem |
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| Type | Single unknown constant |
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1.
$$g ( x ) = 3 x ^ { 3 } - 20 x ^ { 2 } + ( k + 17 ) x + k$$
where \(k\) is a constant.
Given that \(( x - 3 )\) is a factor of \(\mathrm { g } ( x )\), find the value of \(k\).