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evidence of binomial expansion with binomial coefficient (M1)

, selecting correct term, ${(2x)^5}{(3)^0} + 5{(2x)^4}{(3)^1} + 10{(2x)^3}{(3)^2} + \ldots$

correct substitution into correct term (A1)(A1)(A1)

eg $\,\,\,\,\,$ $10{(2)^3}{(3)^2},{\text{ }}\left( {\begin{array}{*{20}{c}} 5 \\ 3 \end{array}} \right){(2x)^3}{(3)^2}$

Note: Award A1 for each factor.

$720{x^3}$ A1 N2

Notes: Do not award any marks if there is clear evidence of adding instead of multiplying.

for a final answer of 720, even if $720{x^3}$ is seen previously.

[5 marks]

Topic 1 - Algebra » 1.3 » The binomial theorem: expansion of

{(a + b)}^{n}

${\left( {a + b} \right)^n}$ ,

$n \in \mathbb{N}$ .

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Date	November 2016	Marks available	2	Reference code	16N.1.sl.TZ0.3
Level	SL only	Paper	1	Time zone	TZ0
Command term	Write down	Question number	3	Adapted from	N/A

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