Higher November 2023 Paper 1 Q15
15.
(a) Factorise \(5x^2 + 13x + 6\). [2]
(b) Adrian is trying to solve \(3 - 4x \gt 11\).
He writes the following:
Adrian’s method is incorrect. Explain why. [1]
He writes the following:
| \(3 - 4x \gt 11\) |
| \(-4x \gt 8\) |
| \(x \gt \dfrac{8}{-4}\) |
| \(x \gt -2\) |
(c) Simplify \(\dfrac{(x^4)^3}{x^2}\). [2]
| Scheme | Marks | Comments |
|---|---|---|
| \((5x + 3)(x + 2)\) | B2 | B1 for two brackets which multiply to give \(5x^2 + 13x + k\) or \(5x^2 + mx + 6\) |
| Scheme | Marks | Comments |
|---|---|---|
| Valid response e.g. ‘(Dividing by a negative) he should reverse the inequality’ | E1 | Allow ‘the answer should be \(x \lt -2\)’. |
| Scheme | Marks | Comments |
|---|---|---|
| \(x^{10}\) | B2 | B1 for either:
|
| (5) |