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Date May 2014 Marks available 4 Reference code 14M.2.sl.TZ1.2
Level SL only Paper 2 Time zone TZ1
Command term Find Question number 2 Adapted from N/A

Question

Consider the expansion of (x+3)10.

Write down the number of terms in this expansion.

[1]
a.

Find the term containing x3.

[4]
b.

Markscheme

11 terms     A1     N1

[1 mark]

a.

evidence of binomial expansion     (M1)

eg     (nr) anrbr, attempt to expand

evidence of choosing correct term     (A1)

eg     8th term, r=7(107), (x)3(3)7

correct working     (A1)

eg     (107) (x)3(3)7(103)(x)3(3)7,

262440x3 (accept 262000x3)     A1     N3

[4 marks]

b.

Examiners report

[N/A]
a.
[N/A]
b.

Syllabus sections

Topic 1 - Algebra » 1.3 » The binomial theorem: expansion of (a+b)n, nN .
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