Higher June 2024 Paper 5 Q15
15 Expand and simplify.
\((x + 3)(4x + 1)(x - 2)\) [3]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| \(4x^3 + 5x^2 - 23x - 6\) final answer | 3 | B2 for correct but unsimplified answer or for 3 correct terms in final answer with no more than 4 terms | e.g. \(4x^3 + 13x^2 - 8x^2 - 26x + 3x - 6\) \(4x^3 + 4x^2 + x^2 - 24x + x - 6\) \(4x^3 + 12x^2 - 7x^2 - 21x - 2x - 6\) For B2 accept correct terms on grid |
| or B1 for expansion of any two of the given brackets with three correct terms | the simplified \(x\) term counts as two correct terms \(4x^2 + 12x + x + 3\) [+] \(13x\) counts as two terms \(x^2 + 3x - 2x - 6\) [+1] \(x\) counts as two terms \(4x^2 - 8x + x - 2\) \(-7x\) counts as two terms For B1 accept e.g. \(x^2\), [+] \(3x - 2x\), \(-6\) on grid If in a longer train of ‘random’ terms only award B1 if four correct consecutive terms are given | ||