OCR A-level Mathematics A · H240
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Extreme practice · Multi-step problems within A-level pure maths. Difficulty is an editorial judgement. These questions are self-reviewed, not ranked.
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Let .
Show that p(x)=0 has exactly one real root α, and that .
[5]
Find a cubic equation with integer coefficients whose unique real root is 1/α. Give bounds for this root.
[4]
Question 1 · Show your working