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#1 2013-06-19 00:43:42

Agnishom
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From: The Complex Plane
Registered: 2011-01-29
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Somebody please tell how to do these factorisation

Question wrote:

i) factor(x^8 + x^4 + 1);
(x^2-x+1)*(x^2+x+1)*(x^4-x^2+1)

ii)factor(x^4 -6*x^2 + 1);
(x^2-2*x-1)*(x^2+2*x-1)

iii) factor((a^8 + a^4)*(x^4 + x^8));
a^4*(a^4+1)*x^4*(x^4+1)

iv) factor ((x^4 - 23*x^2)*(y^2 + y^4));
x^2*(x^2-23)*y^2*(y^2+1)

v) factor(9*y^4 - 33*y^2 + 16);
(3*y^2-3*y-4)*(3*y^2+3*y-4)

vi) factor(4*x^4 + 11*x^2 + 25);
(2*x^2-3*x+5)*(2*x^2+3*x+5)

vii) factor(x^4 + 8*x^2 + 144);
(x^2-4*x+12)*(x^2+4*x+12)

Issue Resolved

Answer wrote:

Hi Aishee Ghatak,
















Try doing this yourself:



Try doing this yourself:

Last edited by Agnishom (2013-06-19 02:04:04)


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'Humanity is still kept intact. It remains within.' -Alokananda

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#2 2013-06-19 00:47:41

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 86,705

Re: Somebody please tell how to do these factorisation

Hi;

For the first one you might try the substitution y = x^4.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#3 2013-06-19 00:49:31

Agnishom
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From: The Complex Plane
Registered: 2011-01-29
Posts: 16,836
Website

Re: Somebody please tell how to do these factorisation

That yields y^2 + y + 1


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'Humanity is still kept intact. It remains within.' -Alokananda

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#4 2013-06-19 00:50:27

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,705

Re: Somebody please tell how to do these factorisation

You can factor that maybe.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#5 2013-06-19 00:51:23

Agnishom
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From: The Complex Plane
Registered: 2011-01-29
Posts: 16,836
Website

Re: Somebody please tell how to do these factorisation

Okay but how. Please tell the formula or the general form being applied.


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'Humanity is still kept intact. It remains within.' -Alokananda

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#6 2013-06-19 00:54:50

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,705

Re: Somebody please tell how to do these factorisation

I do not know one, or if one exists. That is not even a cyclotomic polynomial.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#7 2013-06-19 00:56:35

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 16,836
Website

Re: Somebody please tell how to do these factorisation

can you factor it?


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'Humanity is still kept intact. It remains within.' -Alokananda

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#8 2013-06-19 00:58:30

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,705

Re: Somebody please tell how to do these factorisation

That can be factored by using the quadratic formula.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#9 2013-06-19 01:01:15

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 16,836
Website

Re: Somebody please tell how to do these factorisation

seems funny. Can you do the rest?


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'Humanity is still kept intact. It remains within.' -Alokananda

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#10 2013-06-19 01:07:55

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,705

Re: Somebody please tell how to do these factorisation


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#11 2013-06-19 01:08:07

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 16,836
Website

Re: Somebody please tell how to do these factorisation

Hey, dad showed me how to do the first two


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'Humanity is still kept intact. It remains within.' -Alokananda

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#12 2013-06-19 01:09:01

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,705

Re: Somebody please tell how to do these factorisation

Post please, refresh my memory.

For v)


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#13 2013-06-19 01:27:07

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 16,836
Website

Re: Somebody please tell how to do these factorisation

Hi Aishee Ghatak,
















Try doing this yourself:



Try doing this yourself:

Last edited by Agnishom (2013-06-19 01:42:43)


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'Humanity is still kept intact. It remains within.' -Alokananda

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#14 2013-06-19 01:30:02

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,705

Re: Somebody please tell how to do these factorisation

Did he complete the square there?


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#15 2013-06-19 01:34:09

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 16,836
Website

Re: Somebody please tell how to do these factorisation

What is that, now?


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'Humanity is still kept intact. It remains within.' -Alokananda

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#16 2013-06-19 01:49:59

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,705

Re: Somebody please tell how to do these factorisation

Hi Agnishom;

I am getting for that one

[removed for secrecy]


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#17 2013-06-19 01:58:43

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 16,836
Website

Re: Somebody please tell how to do these factorisation

Realising that It can be put into the form (x+y)^2 - z^2


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'Humanity is still kept intact. It remains within.' -Alokananda

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#18 2013-06-19 02:00:18

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 16,836
Website

Re: Somebody please tell how to do these factorisation

Correct, but I didn't challenge you to do it. It was for my cousin who will probably view the threaad


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'Humanity is still kept intact. It remains within.' -Alokananda

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#19 2013-06-19 02:01:16

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,705

Re: Somebody please tell how to do these factorisation

I am not following you.

I have done this one:

I do not understand the hint.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

Offline

#20 2013-06-19 02:04:31

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 16,836
Website

Re: Somebody please tell how to do these factorisation

Correct, but I didn't challenge you to do it. It was for my cousin who will probably view the threaad


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'Humanity is still kept intact. It remains within.' -Alokananda

Offline

#21 2013-06-19 02:05:21

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,705

Re: Somebody please tell how to do these factorisation

Oh, I am sorry. I will take the answer out.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#22 2013-06-19 02:52:34

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 16,836
Website

Re: Somebody please tell how to do these factorisation

[removed for secrecy]

roflol

Doesn't matter she knows the answer, she needs to know the process.


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'Humanity is still kept intact. It remains within.' -Alokananda

Offline

#23 2013-06-19 02:59:39

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,705

Re: Somebody please tell how to do these factorisation

Good, she can teach me then.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#24 2013-06-19 03:51:52

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 16,836
Website

Re: Somebody please tell how to do these factorisation

Fur vf n abbo. Fur jba'g cebonoyl jevgr urer


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'Humanity is still kept intact. It remains within.' -Alokananda

Offline

#25 2013-06-19 04:57:57

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,705

Re: Somebody please tell how to do these factorisation

Hi Agnishom;


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

Offline

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