CAIE P3 2021 November — Question 6

Exam BoardCAIE
ModuleP3 (Pure Mathematics 3)
Year2021
SessionNovember
TopicGeneralised Binomial Theorem
TypeTwo unknowns from two coefficient conditions
6 When \(( a + b x ) \sqrt { 1 + 4 x }\), where \(a\) and \(b\) are constants, is expanded in ascending powers of \(x\), the coefficients of \(x\) and \(x ^ { 2 }\) are 3 and - 6 respectively. Find the values of \(a\) and \(b\).
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