2026 CSS P1 Q6

2026 CSS P1 Q6

Secondary 4
7 marks
  1. Given that the coefficient of \(x^2\) in the expansion of \((2x-1)^2(1-px)^6\) is 16, find the two possible values of the constant \(p\).[4]
  2. For each value of \(p\), find the coefficient of \(x^3\) in the expansion of \((1-px)^6\).[3]

Solution:

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Answer:(a) \(p=\dfrac25,-2\). (b) \(-\dfrac{32}{25},160\), respectively.

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