| Date | May 2015 | Marks available | 4 | Reference code | 15M.1.hl.TZ2.2 |
| Level | HL only | Paper | 1 | Time zone | TZ2 |
| Command term | Expand | Question number | 2 | Adapted from | N/A |
Question
Expand \({(3 - x)^4}\) in ascending powers of \(x\) and simplify your answer.
Markscheme
\({(3 - x)^4} = {1.3^4} + {4.3^3}( - x) + {6.3^2}{( - x)^2} + 4.3{( - x)^3} + 1{( - x)^4}\) or equivalent (M1)(A1)
\( = 81 - 108x + 54{x^2} - 12{x^3} + {x^4}\) A1A1
Note: A1 for ascending powers, A1 for correct coefficients including signs.
[4 marks]
Examiners report
[N/A]
Syllabus sections
Topic 1 - Core: Algebra » 1.3 » The binomial theorem: expansion of \({\left( {a + b} \right)^n}\), \(n \in N\) .
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