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Date November 2016 Marks available 5 Reference code 16N.2.hl.TZ0.4
Level HL only Paper 2 Time zone TZ0
Command term Find Question number 4 Adapted from N/A

Question

Find the constant term in the expansion of (4x232x)12.

Markscheme

attempting a valid method to obtain the required term in the expansion     (M1)

 

Note: Valid methods include an attempt to expand, noting the behaviour of the powers of x, use of the general binomial expansion term, use of a ratio etc.

 

identifying the correct term     (A1)

(128)×44×(32)8 (=495×44×(32)8)    M1A1

 

Note: Accept (124).

 

Note: Award M1 for the product of a binomial coefficient, a power of 4 and either a power of 32 or 32.

 

=3247695    A1

[5 marks]

Examiners report

[N/A]

Syllabus sections

Topic 1 - Core: Algebra » 1.3 » Counting principles, including permutations and combinations.
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