The binomial expansion of ${{\left( 1+px \right)}^{n}}$, where $n0$, in ascending powers of

Question

The binomial expansion of ${{\left( 1+px \right)}^{n}}$, where $n>0$, in ascending powers of $x$ is $1-12x+28{{p}^{2}}{{x}^{2}}+\ldots $. Find the value of $n$ and of $p$.

Accepted Answer

$n=8,\ p=-\frac{3}{2}$

Binomial Theorem - Finding Parameters in Binomial Expansions

Binomial Theorem - Finding Parameters in Binomial Expansions

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