Higher November 2024 Paper 3 Q20
20 Factorise fully \(\quad 3x^2 + 23x + 30\) [2 marks]
| Answer | Mark | Comments |
|---|---|---|
| \((3x + 5)(x + 6)\) | B2 | B1 \((3x + a)(x + b)\) where \(a + 3b = 23\) or \(ab = 30\) |
Additional guidance
| B1 may be awarded for correct work, with no answer or incorrect answer, even if this is seen amongst multiple attempts | |
| Condone missing final bracket for B2 or B1 | |
| Ignore any attempt to ‘solve’ eg \((3x + 5)(x + 6)\) in working lines with \(-\dfrac{5}{3}\) and \(-6\) on answer line | B2 |
| Allow use of fractions or decimals for B1 eg \((3x + 2.5)(x + 12)\) | B1 |