Higher June 2019 Paper 2 Q22
22 Simplify fully \(\dfrac{6x^3 + 13x^2 - 5x}{4x^2 - 25}\)
(3)
| Scheme | Marks |
|---|---|
| \(x(2x + 5)(3x - 1)\) or \((2x + 5)(3x^2 - x)\) or \((2x + 5)(2x - 5)\) oe | M1 |
| \(x(2x + 5)(3x - 1)\) or \((2x + 5)(3x^2 - x)\) and \((2x + 5)(2x - 5)\) oe | M1 |
| \(\dfrac{x(3x - 1)}{2x - 5}\) | A1 |
| (3) | |
| (3 marks) |
Notes
M1: for a correct factorisation of the numerator into 2 or 3 factors where one of the factors must be \((2x + 5)\)
or
denominator into 2 brackets where one of the factors must be \((2x + 5)\)
M1: for a correct factorisation of the numerator into 2 or 3 factors where one of the factors must be \((2x + 5)\)
and
denominator into 2 brackets where one of the factors must be \((2x + 5)\)
A1: accept \(\dfrac{3x^2 - x}{2x - 5}\) oe Do not ISW