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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

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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