A-LevelMathematicsSeries9709/31 · May/June 2024 · Q14 Marks
Expand (3+x)(1-2x)⁻¹ in ascending powers of x, up to and including the term in x², simplifying the coefficients.
- Expand (3+x)(1-2x)⁻¹ in ascending powers of x, up to and including the term in x², simplifying the coefficients.[4]
Mark scheme
Marking points from the official mark scheme (May/June 2024). The mark or mark type is shown in brackets.
- [B1] State correct unsimplified first two terms of the expansion of (1-2x)⁻¹, e.g. 1+(-2x)
- [B1] State correct unsimplified term in x², e.g. (⁻¹)(⁻²)(⁻2x)² / 2!
- [M1] Obtain sufficient terms of the product of (3 + x) and the expansion up to the term in x²
- [A1] Obtain final answer 3 – 2x – (5/2)x²
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