A-LevelMathematicsAlgebra9709/12 · Oct/Nov 2024 · Q46 Marks
Find the term independent of x in the expansion of each of the following:
- (a)(x + 3/x^2)^6[2]
- (b)(4x^3 - 5)(x + 3/x^2)^6[4]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2024). The mark or mark type is shown in brackets.
- [B1] 15 or (6C2) x^4 (3/x^2)^2 or (6C4) x^2 (3/x^2)^4 OE May be in a list. Allow (6C4)
- [B1] 135 Correct term must be identified if in a list. Allow 135x^0.
- [B1] 20 or (6C3) x^3 (3/x^2)^3 OE May be in a list. Identifying 1/x term.
- [B1] 540/x^3 This can be implied by sight of 2160 as part of the constant term.
- [M1] 4×their 540 – 5×their 135
- [A1] 1485 Allow 1485x^0.
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