Higher November 2021 Unit 2 Q8
8. Factorise \(x^2 - 4x - 12\), and hence solve \(x^2 - 4x - 12 = 0\). [3]
| Scheme | Marks | Comments |
|---|---|---|
| \((x - 6)(x + 2)\) | B2 | B1 for \((x \ldots 6)(x \ldots 2)\). |
| \((x =)\ 6\) AND \((x =)\ -2\) | B1 | Strict F.T. from their brackets. Penalise change of letter −1. Allow the following. B2 for \(x - 6\ (=0)\) AND \(x + 2\ (=0)\) (B1) \((x =)\ 6\) AND \((x =)\ -2\) (B1) B1 for \(x + 6\ (=0)\) AND \(x - 2\ (=0)\) (B0) \((x =)\ -6\) AND \((x =)\ 2\) (B1) FT B1 if only \((x =)\ 6\) AND \((x =)\ -2\) seen. (B1) Use of quadratic formula would only lead to this B1. Mark final answer. |