O-LevelAdditional MathematicsSeries4037/12 · Oct/Nov 2014 · Q66 Marks
Given that the coefficient of x² in the expansion of (2 + px)⁶ is 60, find the value of the positive constant p.
- (i)Given that the coefficient of x² in the expansion of (2 + px)⁶ is 60, find the value of the positive constant p.[3]
- (ii)Using your value of p, find the coefficient of x² in the expansion of (3−x)(2+px)⁶.[3]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2014). The mark or mark type is shown in brackets.
- [1] B1 for 240p² or 240p²x² or ⁶C₂×2⁴×(px)² or ⁶C₂×2⁴×p² or ⁶C₂×2⁴×p²x²
- [1] M1 for equating their term in x² to 60 and attempt to solve
- [1] A1 p = 1/2
- [1] B1 ft ft for 192p, 96 or 192 × their p
- [1] M1 for 180 - 192p
- [1] A1 = 84
Write your answer and get it marked
On Oracle Prep you can write or photograph your own answer and have it marked by AI against this mark scheme, with feedback on what you missed.
Sign up free →