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#1 2013-06-15 15:54:52

jafrevelar
Member
Registered: 2013-06-15
Posts: 8

multiplication of polynomials by a trinomial

Can somebody help me with this problem? I dont have any idea how to answer it.....
Divide (4x^3yz^3+3x^4y^2z+4x^2y^2z^3+3x^3y^3z-4x^2yz^4-3x^3y^2z^2) by (x+y-z)dunno

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#2 2013-06-15 16:04:56

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,481

Re: multiplication of polynomials by a trinomial

Hi;

Are you supposed to do it by hand?


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 2013-06-15 16:20:53

jafrevelar
Member
Registered: 2013-06-15
Posts: 8

Re: multiplication of polynomials by a trinomial

Yes. And i need to show a solution for it..

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#4 2013-06-15 16:22:28

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,481

Re: multiplication of polynomials by a trinomial

There is the solution up there in post #2.


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 2013-06-15 16:23:14

phanthanhtom
Member
Registered: 2012-06-22
Posts: 215

Re: multiplication of polynomials by a trinomial

Prove that by cross multiplication. Multiply right hand side in Bobbym's equation with your trinomial. That's it.

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#6 2013-06-15 16:28:38

jafrevelar
Member
Registered: 2013-06-15
Posts: 8

Re: multiplication of polynomials by a trinomial

Im sorry I cant understand it T_T i dont know where to start. :"(

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#7 2013-06-15 16:30:50

jafrevelar
Member
Registered: 2013-06-15
Posts: 8

Re: multiplication of polynomials by a trinomial

Please help me sad

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#8 2013-06-15 16:31:37

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,481

Re: multiplication of polynomials by a trinomial

With the multiplication?


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 2013-06-15 16:36:17

jafrevelar
Member
Registered: 2013-06-15
Posts: 8

Re: multiplication of polynomials by a trinomial

Thank you smile i already understood it!!!!!! Your a great help thank you so much

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#10 2013-06-15 16:39:41

jafrevelar
Member
Registered: 2013-06-15
Posts: 8

Re: multiplication of polynomials by a trinomial

Just another thing, im still having a hard time understanding how you come up with the answer. Can you please explain it? Just one last favor pls.

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#11 2013-06-15 16:43:11

jafrevelar
Member
Registered: 2013-06-15
Posts: 8

Re: multiplication of polynomials by a trinomial

Pleaseeee,..........m

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#12 2013-06-15 16:44:43

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,481

Re: multiplication of polynomials by a trinomial

I used a computer! But if you show me what method you are supposed to use I will assist with the steps?


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 2013-06-15 16:45:23

jafrevelar
Member
Registered: 2013-06-15
Posts: 8

Re: multiplication of polynomials by a trinomial

I tried to used long division

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#14 2013-06-15 16:46:35

phanthanhtom
Member
Registered: 2012-06-22
Posts: 215

Re: multiplication of polynomials by a trinomial

Polynomial division techniques can be found on the main website. Type 'polynomial division' into the search box.

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#15 2013-06-15 19:44:24

bob bundy
Moderator
Registered: 2010-06-20
Posts: 6,389

Re: multiplication of polynomials by a trinomial

hi jafrevelar

Welcome to the forum.

In the screen shot below I have shown my layout for this.  (note: it will be beneficial to keep terms in neat columns)

(i) I re-ordered the terms to start with the highest power of x, and then in descending powers.  Make sure the signs go with the terms.

(ii) Ask what must I multiply by x to get

(iii) now multiply (x + y - z) by this amount and put the results below.  Line up matching terms to make the subtraction easier.

(iv) Subtract and write in the remaining terms.

(v) Ask what must I multiply by x to get

(vi) Subtract to get the remainder.  This is zero so the division is complete.

Hope that helps,  smile

Bob

View Image: long division.gif

You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei

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