Binomial Theorem - General Terms and Coefficients in Binomial Expansions
Binomial Theorem - General Terms and Coefficients in Binomial Expansions
TGM Original Questions
The coefficient of \(x^4\) in \( (1 + px)^8\) is twice the coefficient of \(x^3\).
- Find all possible values of \(p\).
- Determine the coefficient of \(x^5\).
Solution:
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Answer:(a) \(p=0\) or \(\dfrac85\). (b) \(0\) or \(\dfrac{1835008}{3125}\), respectively.
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