WJEC Unit 1 2024 June — Question 9

Exam BoardWJEC
ModuleUnit 1 (Unit 1)
Year2024
SessionJune
TopicBinomial Theorem (positive integer n)
TypeProduct with unknown constant to determine
9. (a) Write down the binomial expansion of \(( 2 - x ) ^ { 6 }\) up to and including the term in \(x ^ { 2 }\).
(b) Given that $$( 1 + a x ) ( 2 - x ) ^ { 6 } \equiv 64 + b x + 336 x ^ { 2 } + \ldots$$ find the values of the constants \(a , b\).
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