4MA0 Higher June 2015 Paper 3R Q22
22 Simplify fully \(\dfrac{6x^2 + x - 15}{12x^2 - 27}\)
Show clear algebraic working.
(4)
| Scheme | Marks |
|---|---|
| \((2x \pm 3)(3x \pm 5)\) | M1 |
| \(3(2x - 3)(2x + 3)\) or \((2x - 3)(6x + 9)\) | M2 |
| \(\dfrac{3x + 5}{3(2x + 3)}\) | A1 |
| (4) |
Notes
M2: (M1 for \(3(4x^2 - 9)\) or \((6x - 9)(2x + 3)\))
A1: accept \(\dfrac{3x + 5}{6x + 9}\)