Mathematics 9709 · AS & A Level · Series

Series — practice question

When $(px + 3)^5 - \left(x^3 + \frac{p}{x}\right)^4$ is expanded, the coefficient of $x^4$ is $216$.
(main)[5]

Determine the value of the positive constant $p$.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “The $x^4$ term from $(px+3)^5$ is $3\times 5p^4x^4$” …

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