| Exam Board | Edexcel |
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| Module | C1 (Core Mathematics 1) |
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| Year | 2010 |
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| Session | June |
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| Topic | Quadratic Functions |
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4. (a) Show that \(x ^ { 2 } + 6 x + 11\) can be written as
$$( x + p ) ^ { 2 } + q$$
where \(p\) and \(q\) are integers to be found.
(b) In the space at the top of page 7 , sketch the curve with equation \(y = x ^ { 2 } + 6 x + 11\), showing clearly any intersections with the coordinate axes.
(c) Find the value of the discriminant of \(x ^ { 2 } + 6 x + 11\)