2025 PHS PRELIMS P2 Q5

2025 PHS PRELIMS P2 Q5

Secondary 4
6 marks
2025 Presbyterian High School Prelims A Math Paper 2
  1. Find the range of values of the constant \(k\) for which \(k(x^2+x)+2(x^2+x+1)=0\) has no real roots.[4]
  2. Hence, explain why \(-\dfrac{x^2+x}{10}+2(x^2+x+1)\) is always positive.[2]

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Answer:(a) \(-2\le k<6\) (b) \(-\dfrac{x^2+x}{10}+2(x^2+x+1)>0\) for all real \(x\)

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