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## #1 2013-06-16 13:54:52

jafrevelar
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### 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)

## #2 2013-06-16 14:04:56

bobbym
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### 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.
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 2013-06-16 14:20:53

jafrevelar
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### Re: multiplication of polynomials by a trinomial

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

## #4 2013-06-16 14:22:28

bobbym
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### 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.
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 2013-06-16 14:23:14

phanthanhtom
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### 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.

## #6 2013-06-16 14:28:38

jafrevelar
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### Re: multiplication of polynomials by a trinomial

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

jafrevelar
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Please help me

## #8 2013-06-16 14:31:37

bobbym
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### Re: multiplication of polynomials by a trinomial

With the multiplication?

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 2013-06-16 14:36:17

jafrevelar
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### Re: multiplication of polynomials by a trinomial

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

## #10 2013-06-16 14:39:41

jafrevelar
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### 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.

## #11 2013-06-16 14:43:11

jafrevelar
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### Re: multiplication of polynomials by a trinomial

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

## #12 2013-06-16 14:44:43

bobbym
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### 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.
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 2013-06-16 14:45:23

jafrevelar
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### Re: multiplication of polynomials by a trinomial

I tried to used long division

## #14 2013-06-16 14:46:35

phanthanhtom
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### Re: multiplication of polynomials by a trinomial

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

## #15 2013-06-16 17:44:24

bob bundy
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### 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,

Bob

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