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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'

'You have made another human being happy. There is no greater accomplishment.' -bobbym

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 92,237

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.**

**I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.**

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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'

'You have made another human being happy. There is no greater accomplishment.' -bobbym

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 92,237

You can factor that maybe.

**In mathematics, you don't understand things. You just get used to them.**

**I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.**

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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'

'You have made another human being happy. There is no greater accomplishment.' -bobbym

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 92,237

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.**

**I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.**

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can you factor it?

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'You have made another human being happy. There is no greater accomplishment.' -bobbym

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 92,237

That can be factored by using the quadratic formula.

**In mathematics, you don't understand things. You just get used to them.**

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seems funny. Can you do the rest?

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'You have made another human being happy. There is no greater accomplishment.' -bobbym

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 92,237

**In mathematics, you don't understand things. You just get used to them.**

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Hey, dad showed me how to do the first two

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'You have made another human being happy. There is no greater accomplishment.' -bobbym

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 92,237

Post please, refresh my memory.

For v)

**In mathematics, you don't understand things. You just get used to them.**

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Hi Aishee Ghatak,

Try doing this yourself:

Try doing this yourself:

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

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'You have made another human being happy. There is no greater accomplishment.' -bobbym

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 92,237

Did he complete the square there?

**In mathematics, you don't understand things. You just get used to them.**

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What is that, now?

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'You have made another human being happy. There is no greater accomplishment.' -bobbym

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 92,237

Hi Agnishom;

I am getting for that one

[removed for secrecy]

**In mathematics, you don't understand things. You just get used to them.**

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

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'You have made another human being happy. There is no greater accomplishment.' -bobbym

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

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'You have made another human being happy. There is no greater accomplishment.' -bobbym

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 92,237

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.**

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'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'You have made another human being happy. There is no greater accomplishment.' -bobbym

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 92,237

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

**In mathematics, you don't understand things. You just get used to them.**

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[removed for secrecy]

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

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'You have made another human being happy. There is no greater accomplishment.' -bobbym

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 92,237

Good, she can teach me then.

**In mathematics, you don't understand things. You just get used to them.**

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

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'You have made another human being happy. There is no greater accomplishment.' -bobbym

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 92,237

Hi Agnishom;

**In mathematics, you don't understand things. You just get used to them.**

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