June 2023 Paper 3 Q4
4 Express
\[\frac{5 - \sqrt[3]{x}}{x^2}\]in the form
\[5x^p - x^q\]where \(p\) and \(q\) are constants. [2 marks]
| Scheme | Marks | AO |
|---|---|---|
| Obtains \(5x^{-2}\) or \(x^{\frac{1}{3} - 2}\) PI by \(p = -2\) or \(q = -\dfrac{5}{3}\) | M1 | 1.1a |
| Obtains \(5x^{-2} - x^{-\frac{5}{3}}\) PI by \(p = -2\) and \(q = -\dfrac{5}{3}\) OE Allow \(-1.67\) or better for \(-\dfrac{5}{3}\) Do not ISW incorrect algebra | A1 | 1.1b |
| (2 marks) |