O-LevelAdditional MathematicsSeries4037/22 · May/June 2010 · Q88 Marks
Write down the first 4 terms, in ascending powers of x, of the expansion of (1 – 3x)⁷.
- (a)(i)Write down the first 4 terms, in ascending powers of x, of the expansion of (1 – 3x)⁷.[3]
- (a)(ii)Find the coefficient of x³ in the expansion of (5 + 2x)(1 – 3x)⁷.[2]
- (b)Find the term which is independent of x in the expansion of (x²+).[3]
Mark scheme
Marking points from the official mark scheme (May/June 2010). The mark or mark type is shown in brackets.
- B3, 2, 1, 0 for 1 – 21x + 189x² – 945x³
- M1 for 2 × (189) and 5 × (-945)
- A1√ for -4347
- B1 for Identifies relevant (x^2)³
- M1 for Multiplies by 84
- A1 for 5376
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