| Exam Board | CAIE |
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| Module | FP1 (Further Pure Mathematics 1) |
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| Year | 2013 |
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| Session | November |
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| Topic | Roots of polynomials |
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5 The equation
$$8 x ^ { 3 } + 36 x ^ { 2 } + k x - 21 = 0$$
where \(k\) is a constant, has roots \(a - d , a , a + d\). Find the numerical values of the roots and determine the value of \(k\).