Higher November 2022 Paper 2 Q22
22 Factorise fully \(\quad x^3 - 49x\) [2 marks]
| Answer | Mark | Comments |
|---|---|---|
| \(x(x^2 - 49)\) or \((x^2 + 7x)(x - 7)\) or \((x^2 - 7x)(x + 7)\) | M1 | oe partial factorisation eg \(x(x^2 - 7^2)\) any order eg \((x^2 - 49)x\) |
| \(x(x + 7)(x - 7)\) | A1 | oe full factorisation any order eg \((x + 7)x(x - 7)\) |
Additional guidance
| M1 may be awarded for correct work with no answer, or incorrect answer, even if this is seen amongst multiple attempts | |
| Ignore correctly placed multiplication signs | |
| Ignore missing final bracket eg \(x(x - 7)(x + 7\) | M1A1 |
| Allow \(x\) to be \(1x\) throughout | |
| Allow \(x\) to be \((x + 0)\) or \((x - 0)\) throughout | |
| Ignore any equating to zero | |
| Ignore any attempt to ‘solve’ | |
| \(x(-7 + x)(7 + x)\) | M1A1 |