| Exam Board | OCR MEI |
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| Module | C1 (Core Mathematics 1) |
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| Year | 2014 |
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| Session | June |
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| Topic | Factor & Remainder Theorem |
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| Type | Remainder condition |
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8 You are given that \(\mathrm { f } ( x ) = 4 x ^ { 3 } + k x + 6\), where \(k\) is a constant. When \(\mathrm { f } ( x )\) is divided by \(( x - 2 )\), the remainder is 42 . Use the remainder theorem to find the value of \(k\). Hence find a root of \(\mathrm { f } ( x ) = 0\).