Edexcel P2 2021 January — Question 4

Exam BoardEdexcel
ModuleP2 (Pure Mathematics 2)
Year2021
SessionJanuary
TopicBinomial Theorem (positive integer n)
TypeProduct with unknown constant to determine

4. (a) Find the first three terms, in ascending powers of \(x\), of the binomial expansion of $$( 2 + p x ) ^ { 6 }$$ where \(p\) is a constant. Give each term in simplest form. Given that in the expansion of $$\left( 3 - \frac { 1 } { 2 } x \right) ( 2 + p x ) ^ { 6 }$$ the coefficient of \(x ^ { 2 }\) is \(- \frac { 3 } { 4 }\)
(b) find the possible values of \(p\).
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