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May 17, 2025, 02:22:12 am
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Author Topic: Binomial Expansion Question  (Read 1611 times)  Share 

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drdr

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Binomial Expansion Question
« on: November 04, 2010, 10:57:54 am »
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Hi guys, just wondering if someone could explain how to do this question? (TSFX 2010 EX.1)

I didn't really understand the working they had :S
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simonhu81292

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Re: Binomial Expansion Question
« Reply #1 on: November 04, 2010, 11:00:15 am »
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stonecold

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Re: Binomial Expansion Question
« Reply #2 on: November 04, 2010, 11:05:42 am »
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This shit had better not be on there tomorrow.  I have totally forgotten it...
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costa94

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Re: Binomial Expansion Question
« Reply #3 on: November 04, 2010, 11:06:53 am »
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Quote from: stonecold on November 04, 2010, 11:05:42 am
This shit had better not be on there tomorrow.  I have totally forgotten it...

then  go learn it now
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stonecold

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Re: Binomial Expansion Question
« Reply #4 on: November 04, 2010, 11:08:06 am »
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How are you supposed to know which term gives x^11!  ?
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2011-13: BBiomed (Microbiology & Immunology Major) @ UniMelb


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Stroodle

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Re: Binomial Expansion Question
« Reply #5 on: November 04, 2010, 11:09:01 am »
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Quote from: stonecold on November 04, 2010, 11:05:42 am
This shit had better not be on there tomorrow.  I have totally forgotten it...

Just look in the back of the essentials book. Takes like a minute to learn/relearn.
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stonecold

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Re: Binomial Expansion Question
« Reply #6 on: November 04, 2010, 11:11:34 am »
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Quote from: Stroodle on November 04, 2010, 11:09:01 am
Quote from: stonecold on November 04, 2010, 11:05:42 am
This shit had better not be on there tomorrow.  I have totally forgotten it...

Just look in the back of the essentials book. Takes like a minute to learn/relearn.

Yeah, I know how to do it, but I just don't get this question lol...  I normally just the term number, then find this term, and use ncr to get what goes in front of it... but how do you know which one is x^11 here?
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2011-13: BBiomed (Microbiology & Immunology Major) @ UniMelb


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sajib_mostofa

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Re: Binomial Expansion Question
« Reply #7 on: November 04, 2010, 11:11:54 am »
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Wherebouts in the essential textbook is it? I never seem to recall doing it.
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Stroodle

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Re: Binomial Expansion Question
« Reply #8 on: November 04, 2010, 11:13:15 am »
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Quote from: stonecold on November 04, 2010, 11:08:06 am
How are you supposed to know which term gives x^11!  ?

I just rewrite it as Then it only takes a little bit of deduction to work out that when the first term is to the power of 6, it'll give 12, and the second is to the power of one it'll give negative 1, thus giving to expand.
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stonecold

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Re: Binomial Expansion Question
« Reply #9 on: November 04, 2010, 11:13:50 am »
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It is in the appendix.  Normally they are easy though.  This one sucks...
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stonecold

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Re: Binomial Expansion Question
« Reply #10 on: November 04, 2010, 11:18:23 am »
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Is it -1379?
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2011-13: BBiomed (Microbiology & Immunology Major) @ UniMelb


VCE 2009'10: English 46 | English Language 49 | Chemistry 50 | Biology 50 | Further Mathematics 48 | Mathematical Methods CAS 39
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Stroodle

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Re: Binomial Expansion Question
« Reply #11 on: November 04, 2010, 11:19:11 am »
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Close :)

It's -1344
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stonecold

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Re: Binomial Expansion Question
« Reply #12 on: November 04, 2010, 11:20:50 am »
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Quote from: Stroodle on November 04, 2010, 11:19:11 am
Close :)

It's -1344

Excuse my retardness.  I read a 2 as a 7...

Looking forward to making dumb shit mistakes like these tomorrow!
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2011-13: BBiomed (Microbiology & Immunology Major) @ UniMelb


VCE 2009'10: English 46 | English Language 49 | Chemistry 50 | Biology 50 | Further Mathematics 48 | Mathematical Methods CAS 39
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Stroodle

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Re: Binomial Expansion Question
« Reply #13 on: November 04, 2010, 11:26:04 am »
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Tell me about it. I hate it so much that going well in methods is just about not making any little errors.
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ssluffy

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Re: Binomial Expansion Question
« Reply #14 on: November 04, 2010, 02:59:25 pm »
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Quote from: stonecold on November 04, 2010, 11:08:06 am
How are you supposed to know which term gives x^11!  ?

heres a method that i used to solve this problem:

the first term was and the second term was .
since the equation is raised to , and we require the coefficient of . lay it out like this:



this is derived from the binomial expansion formula, but i have removed the coefficients because our aim is to first get the
appropriate powers to put in the original binomial expansion formula. We will solve for in order to do so.













Now that we have found , we now have appropriate powers to substitute back into the binomial formula.



where a is the missing coefficient.









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