Binomial Expansion 6

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joshua boddy

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Ready to use

9 years, 5 months ago

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joshua boddy 9 years, 5 months ago

Gave some feedback: Ready to use

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joshua boddy 9 years, 6 months ago

Created this as a copy of Binomial Expansion 3.

Name	Status	Author	Last Modified
Binomial Expansion 3	Ready to use	joshua boddy	01/06/2016 09:47
Binomial Expansion 4	Ready to use	joshua boddy	01/06/2016 09:47
Binomial Expansion 6	Ready to use	joshua boddy	01/06/2016 09:47
CF Maths January test mock paper Binomial Expansion 6	Ready to use	Jinhua Mathias	28/08/2024 12:15
Vicky's copy of Binomial Expansion	Ready to use	Vicky Hall	09/06/2016 12:52
Binomial Expansion 4	draft	Xiaodan Leng	11/07/2019 07:06

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Question statement

Find the coefficient of the term indicated in the square brackets in the expansion of each of the following expressions below

Give any introductory information the student needs.

			Name	Type	Generated Value

a1	integer	7
a2	integer	3
b1	integer	6
b2	integer	4
c1	integer	5
c2	integer	2
c3	integer	4
d1	integer	8
d2	integer	6
d3	integer	2
e1	integer	3
e2	integer	2
e3	integer	1
f1	integer	4
f2	integer	2
f3	integer	4
g1	integer	3
g2	integer	2
g3	integer	5
a3	integer	5
b3	integer	3
d4	integer	4
d5	integer	4
e4	integer	5
e5	integer	4
e6	integer	5
e7	rational	5/4

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Generated value: `integer`

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Advice

In these questions we need to think carefully about which terms in the expansions will contribute to the coefficient that we are trying to find.

For example, if we have $(a+bx)(c+dx)^n$ and we are looking for the coefficient of the $x^i$ term then the answer will be $a*\simplify{comb(n,i)}*d^i + b*\simplify{comb(n, i-1)}*d^{i-1}$

This makes use of the binomial theorem:

(a + b)^n = sum[k=0,n][(n over k)a^(n-k)b^k]

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This question is used in the following exams:

P3 - Further Algebra by Rob Beckett in Rob's workspace.
Maths 3 Binomial expansion by Jinhua Mathias in Maths 3-2020.
Binomial expansion by Jinhua Mathias in Core Foundation Maths.

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joshua boddy 9 years, 5 months ago

joshua boddy 9 years, 6 months ago

Error in variable testing condition

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Binomial Expansion 6

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

joshua boddy 9 years, 5 months ago

joshua boddy 9 years, 6 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Number entry

Advanced settings

Generated value: `integer`