| Exam Board | Edexcel |
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| Module | C3 (Core Mathematics 3) |
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| Year | 2010 |
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| Session | June |
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| Topic | Polynomial Division & Manipulation |
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8. (a) Simplify fully
$$\frac { 2 x ^ { 2 } + 9 x - 5 } { x ^ { 2 } + 2 x - 15 }$$
Given that
$$\ln \left( 2 x ^ { 2 } + 9 x - 5 \right) = 1 + \ln \left( x ^ { 2 } + 2 x - 15 \right) , \quad x \neq - 5$$
(b) find \(x\) in terms of e.