Math Is Fun Forum
  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

You are not logged in.

#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

Offline

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

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 82,724

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.

Offline

#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..

Offline

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

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 82,724

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.

Offline

#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.

Offline

#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. :"(

Offline

#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

Offline

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

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 82,724

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.

Offline

#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

Offline

#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.

Offline

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

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

Re: multiplication of polynomials by a trinomial

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

Offline

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

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 82,724

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.

Offline

#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

Offline

#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.

Offline

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

bob bundy
Moderator
Registered: 2010-06-20
Posts: 6,259

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

Offline

Board footer

Powered by FluxBB