Math Is Fun Forum
  Discussion about math, puzzles, games and fun.   Useful symbols: √ ∞ ≠ ≤ ≥ ≈ ⇒ ∈ Δ θ ∴ ∑ ∫ π -

Login

Username

Password

Not registered yet?

  • Index
  •  » Help Me !
  •  » Somebody please tell how to do these factorisation

#1 2013-06-19 22:43:42

Agnishom
Real Member
Award: Wink Sherlock

Offline

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 (2013-06-20 00:04:04)


'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'
'Who are you to judge everything?' -Alokananda

#2 2013-06-19 22:47:41

bobbym
Administrator

Online

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.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

#3 2013-06-19 22:49:31

Agnishom
Real Member
Award: Wink Sherlock

Offline

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'
'Who are you to judge everything?' -Alokananda

#4 2013-06-19 22:50:27

bobbym
Administrator

Online

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.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

#5 2013-06-19 22:51:23

Agnishom
Real Member
Award: Wink Sherlock

Offline

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'
'Who are you to judge everything?' -Alokananda

#6 2013-06-19 22:54:50

bobbym
Administrator

Online

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.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

#7 2013-06-19 22:56:35

Agnishom
Real Member
Award: Wink Sherlock

Offline

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'
'Who are you to judge everything?' -Alokananda

#8 2013-06-19 22:58:30

bobbym
Administrator

Online

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.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

#9 2013-06-19 23:01:15

Agnishom
Real Member
Award: Wink Sherlock

Offline

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'
'Who are you to judge everything?' -Alokananda

#10 2013-06-19 23:07:55

bobbym
Administrator

Online

Re: Somebody please tell how to do these factorisation


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

#11 2013-06-19 23:08:07

Agnishom
Real Member
Award: Wink Sherlock

Offline

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'
'Who are you to judge everything?' -Alokananda

#12 2013-06-19 23:09:01

bobbym
Administrator

Online

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.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

#13 2013-06-19 23:27:07

Agnishom
Real Member
Award: Wink Sherlock

Offline

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 23:42:43)


'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'
'Who are you to judge everything?' -Alokananda

#14 2013-06-19 23:30:02

bobbym
Administrator

Online

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.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

#15 2013-06-19 23:34:09

Agnishom
Real Member
Award: Wink Sherlock

Offline

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'
'Who are you to judge everything?' -Alokananda

#16 2013-06-19 23:49:59

bobbym
Administrator

Online

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.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

#17 2013-06-19 23:58:43

Agnishom
Real Member
Award: Wink Sherlock

Offline

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'
'Who are you to judge everything?' -Alokananda

#18 2013-06-20 00:00:18

Agnishom
Real Member
Award: Wink Sherlock

Offline

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'
'Who are you to judge everything?' -Alokananda

#19 2013-06-20 00:01:16

bobbym
Administrator

Online

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.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

#20 2013-06-20 00:04:31

Agnishom
Real Member
Award: Wink Sherlock

Offline

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'
'Who are you to judge everything?' -Alokananda

#21 2013-06-20 00:05:21

bobbym
Administrator

Online

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.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

#22 2013-06-20 00:52:34

Agnishom
Real Member
Award: Wink Sherlock

Offline

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'
'Who are you to judge everything?' -Alokananda

#23 2013-06-20 00:59:39

bobbym
Administrator

Online

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.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

#24 2013-06-20 01:51:52

Agnishom
Real Member
Award: Wink Sherlock

Offline

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'
'Who are you to judge everything?' -Alokananda

#25 2013-06-20 02:57:57

bobbym
Administrator

Online

Re: Somebody please tell how to do these factorisation

Hi Agnishom;


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.
  • Index
  •  » Help Me !
  •  » Somebody please tell how to do these factorisation

Board footer

Powered by FluxBB