Higher June 2024 Paper 6 Q20
20 Write as a single fraction in its simplest form.
\[4 + \frac{x^2 - 49}{(x + 7)(x - 3)}\] [5]| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| \(\frac{5x - 19}{x - 3}\) final answer nfww | 5 | M2 for \(\frac{x - 7}{x - 3}\) nfww or M1 for \((x + 7)(x - 7)\) AND M2 for \(4x - 12 + x - 7\) or M1 for \(4(x - 3) + x - 7\) | For M2 and M1 accept written as separate fractions e.g. M2 for \(\frac{4x - 12}{x - 3} + \frac{x - 7}{x - 3}\) |
| Alternative method: M2 for \(4(x^2 + 4x - 21)\) or better or M1 for \(4(x + 7)(x - 3)\) AND M2 for \((5x - 19)(x + 7)\) or M1 for \(5x^2 + 16x - 133\) | |||