June 2024 Paper 2 Q15
15 Simplify fully \(\quad \dfrac{2x^2 + 9x - 18}{12x^2 - 8x - 15}\) [3 marks]
| Answer | Mark | Comments |
|---|---|---|
| \((2x - 3)(x + 6)\) or \((6x + 5)(2x - 3)\) | M1 | oe factorisation using two brackets eg \(2(x - 1.5)(x + 6)\) |
| \((2x - 3)(x + 6)\) and \((6x + 5)(2x - 3)\) | M1dep | oe factorisations using two brackets with a common algebraic factor eg \(2(x - 1.5)(x + 6)\) and \((x - 1.5)(12x + 10)\) |
| \(\dfrac{x + 6}{6x + 5}\) | A1 |
Additional guidance
| M1 may be awarded for correct work with no answer or incorrect answer, even if this is seen amongst multiple attempts | |
| Condone one transcription error for A1 after fully correct answer seen | |
| Accept use of multiplication signs throughout | |
| Condone missing final bracket in factorisations and ignore irrelevant brackets eg1 \((2x - 3)(x + 6\) eg2 \(\dfrac{(6 + x)}{(6x + 5)}\) | M1 M2A1 |
| \((2x + 3)(x + 6)\) and \((6x + 5)(2x + 3)\) Answer \(\dfrac{x + 6}{6x + 5}\) | M0M0A0 |
| \(\dfrac{x + 6}{6x + 5}\) followed by further incorrect work eg \(\dfrac{6x}{6x + 5}\) | M2A0 |