| Exam Board | AQA |
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| Module | Further Paper 1 (Further Paper 1) |
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| Year | 2020 |
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| Session | June |
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| Topic | Roots of polynomials |
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3 The quadratic equation \(a x ^ { 2 } + b x + c = 0 ( a , b , c \in \mathbb { R } )\) has real roots \(\alpha\) and \(\beta\).
One of the four statements below is incorrect.
Which statement is incorrect?
Tick ( \(\checkmark\) ) one box.
\(c = 0 \Rightarrow \alpha = 0\) or \(\beta = 0\) □
\(c = a \Rightarrow \alpha\) is the reciprocal of \(\beta\) □
\(b < 0\) and \(c < 0 \Rightarrow \alpha > 0\) and \(\beta > 0\) □
\(b = 0 \Rightarrow \alpha = - \beta\) □