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2025 ESSS P2 Q3
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2025 ESSS P2 Q3
Secondary 4
5 marks
Find the range of values of \(p\) for which \(y=x^2+(x+2)p+5\) is always positive for all real values of \(x\).
[4]
James claims that the curve \(y=x^2-3x-1\) is always positive. By using your answer in (a), justify whether his claim is correct.
[1]
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Answer:
(a) \(-2<p<10\). (b) Incorrect: \(p=-3\) is outside this interval.
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