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October 15, 2025, 12:00:13 pm
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Author Topic: Binomial Theorem  (Read 528 times)  Share 

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Water

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Binomial Theorem
« on: February 21, 2011, 10:22:28 pm »
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Is this part of the year 12 Syllabus, cuz I"m very inclined of not wanting to learn it. Looks tedious  :tickedoff:
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About Philosophy

When I see a youth thus engaged,—the study appears to me to be in character, and becoming a man of liberal education, and him who neglects philosophy I regard as an inferior man, who will never aspire to anything great or noble. But if I see him continuing the study in later life, and not leaving off, I should like to beat him - Callicle

onur369

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Re: Binomial Theorem
« Reply #1 on: February 21, 2011, 10:32:39 pm »
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This has been asked by many of us including myself. It is included in the syllabus but has not been asked for the past 5 years. But it is asked in the probability sense of maths.

It isnt as hard as it looks.
The general form of it is (ax-b)^n
Start off with ax^n x b^0
Without showing you let me explain it in a easier way.  Whatever N is in the question you always take away 1 from it.
The first part of the theorem will be ax^n x b^0 but the next one will be ax^n-1 x b^1 and so on until it is ax^0.

After doing that, refer to pascals triangle and find what values to multiply it with. In the maths text book there is normally a triangle which shows which numbers to use for each power.

Refer to this: http://anoved.net/images/pt/pt-mac-general.png  , the numbers on the left is the value 'n'

Just pm me if you need extra help
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2011:
Aims-
English 35, Further 45+, Methods 35, Physics 32, Turkish 33, Legal 28.

Water

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Re: Binomial Theorem
« Reply #2 on: February 21, 2011, 10:40:25 pm »
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Can the theorem be used in reverse, to find the simplified form,. or primarily just for expanding?
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About Philosophy

When I see a youth thus engaged,—the study appears to me to be in character, and becoming a man of liberal education, and him who neglects philosophy I regard as an inferior man, who will never aspire to anything great or noble. But if I see him continuing the study in later life, and not leaving off, I should like to beat him - Callicle

onur369

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Re: Binomial Theorem
« Reply #3 on: February 21, 2011, 10:42:44 pm »
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Its just for expanding I believe but we didnt even get asked this question in our Chapter 1 test.

If you need help just pm
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2011:
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English 35, Further 45+, Methods 35, Physics 32, Turkish 33, Legal 28.

Water

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Re: Binomial Theorem
« Reply #4 on: February 21, 2011, 10:44:49 pm »
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I don't think our school will be teaching this, but I'm pretty sure, I got the jist of how this formula works. basically, you have your C , decreasing as each number goes by .__., thanks <3
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About Philosophy

When I see a youth thus engaged,—the study appears to me to be in character, and becoming a man of liberal education, and him who neglects philosophy I regard as an inferior man, who will never aspire to anything great or noble. But if I see him continuing the study in later life, and not leaving off, I should like to beat him - Callicle

onur369

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Re: Binomial Theorem
« Reply #5 on: February 21, 2011, 10:46:29 pm »
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All good, its a draining process, I lost the plot when I was doing the excercise.

May I ask what textbook you use for school?
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2011:
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English 35, Further 45+, Methods 35, Physics 32, Turkish 33, Legal 28.

Water

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Re: Binomial Theorem
« Reply #6 on: February 21, 2011, 10:49:13 pm »
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We are using Maths Essentials 3/4, the book only touches on it, i reckon.
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About Philosophy

When I see a youth thus engaged,—the study appears to me to be in character, and becoming a man of liberal education, and him who neglects philosophy I regard as an inferior man, who will never aspire to anything great or noble. But if I see him continuing the study in later life, and not leaving off, I should like to beat him - Callicle
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