2025 AHS PRELIMS P1 Q6
2025 AHS PRELIMS P1 Q6
Secondary 4
6 marks
The binomial expansion of \((1+px)^n\) where \(n > 0\), in ascending powers of \(x\) is
\[1-12x+28p^2x^2+qx^3+\ldots\]
Find the value of \(p\), of \(n\) and of \(q\).[6]
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Answer:\(p=-\dfrac{3}{2},\quad n=8,\quad q=-189\)
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