| Exam Board | CAIE |
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| Module | P1 (Pure Mathematics 1) |
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| Year | 2020 |
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| Session | November |
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| Topic | Quadratic Functions |
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3 The equation of a curve is \(y = 2 x ^ { 2 } + m ( 2 x + 1 )\), where \(m\) is a constant, and the equation of a line is \(y = 6 x + 4\).
Show that, for all values of \(m\), the line intersects the curve at two distinct points.