Binomial Theorem - Finding Parameters in Binomial Expansions

Binomial Theorem - Finding Parameters in Binomial Expansions

IP 4

Given that \({{\left( a+bx \right)}^{6}}=r-96x+60{{x}^{2}}+s{{x}^{3}}+\ldots \), find the possible values of \(a\), of \(b\), of \(r\) and of \(s\).

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Answer:\((a,b,r,s)=\left(2,-\frac{1}{2},64,-20\right)\) or \((a,b,r,s)=\left(-2,\frac{1}{2},64,-20\right)\)

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