2026 AHS P1 Q1

2026 AHS P1 Q1

Secondary 4
4 marks
  1. Express \(7-6x-3x^2\) in the form of \(a(x+b)^2+c\) where \(a\), \(b\), and \(c\) are constants.[2]
  2. Hence, find the range of values of the constant \(h\) for which the equation \(7-6x-3x^2=h\) does not have two distinct roots.[2]

Solution:

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Answer:(a) \(-3(x+1)^2+10\). (b) \(h\ge10\).

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