4400 Higher June 2009 Paper 4 Q15
15
(a) Simplify \(3c^5d \times c^2d^4\) (2)
(b) Simplify \((2x^3y)^4\) (2)
(c) Simplify fully \(\dfrac{2x - 6}{x^2 - 3x}\) (2)
| Scheme | Marks |
|---|---|
| \(3c^7d^5\) | B2 |
| (2) |
Notes
B2: B1 for \(c^7\) or \(d^5\)
Accept \(3 \times c^7 \times d^5\)
| Scheme | Marks |
|---|---|
| \(16x^{12}y^4\) | B2 |
| (2) |
Notes
B2: B1 for 16 or \(x^{12}\) or \(y^4\)
Accept \(16 \times x^{12} \times y^4\)
| Scheme | Marks |
|---|---|
| \(\dfrac{2(x - 3)}{x(x - 3)}\) | M1 |
| \(\dfrac{2}{x}\) | A1 |
| (2) | |
| (6 marks) |
Notes
M1: either factorisation correct. Accept \((x \pm 0)\) \((2 \pm 0)\)
A1: Accept \(\dfrac{2 \pm 0}{x \pm 0}\)
Look for incorrect algebra