Edexcel P2 2022 January — Question 3

Exam BoardEdexcel
ModuleP2 (Pure Mathematics 2)
Year2022
SessionJanuary
TopicBinomial Theorem (positive integer n)
TypeProduct with unknown constant to determine

3. (a) Find the first 4 terms, in ascending powers of \(x\), of the binomial expansion of $$\left( 2 - \frac { k x } { 4 } \right) ^ { 8 }$$ where \(k\) is a non-zero constant. Give each term in simplest form. $$f ( x ) = ( 5 - 3 x ) \left( 2 - \frac { k x } { 4 } \right) ^ { 8 }$$ In the expansion of \(\mathrm { f } ( x )\), the constant term is 3 times the coefficient of \(x\).
(b) Find the value of \(k\).
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