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#1 2011-08-16 07:19:35

zee-f
Member
Registered: 2011-05-12
Posts: 1,220

dividing polynomials

just checking to see if i did this right

the original problem says Divide 15x^7 – 45x^5 / 3x^4

i got 5x^3-15x

i divided 15x^7 by 3x^4 i got 5x^3

multiplied 5x^3 by 3x^4
got 15x^7
i put down the zero and drag the -45x^5
that goes in 3x^4 
15x^1 times 3x^4 is ganna give me 45x^5
subtract am left with 0


One, who adopts patience, will never be deprived of success though it may take a long time to reach him. Imam ali (as)<3

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#2 2011-08-16 08:12:33

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: dividing polynomials

That is correct!


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#3 2011-08-17 01:08:36

zee-f
Member
Registered: 2011-05-12
Posts: 1,220

Re: dividing polynomials

thanx i have this second one am  stuck on to



Divide (3x – 2)(x - 4) – (x - 4)(6 – 5x) / (4 – x)(8x – 1)
so i cross out the x-4 they all divide to give me one

left with (3x-2)-(6-5x)/(8x-1)

is this step right ?


One, who adopts patience, will never be deprived of success though it may take a long time to reach him. Imam ali (as)<3

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#4 2011-08-17 01:54:14

Bob
Administrator
Registered: 2010-06-20
Posts: 10,583

Re: dividing polynomials

Stay on-line while I have a look.

Ok, I've looked.  There's a little thing you have missed.  The bottom factor isn't (x-4);   it is (4-x)

So you should think of it as -(x-4).

When you cancel there'll be  a minus on the bottom which will change the signs of the bottom terms.

Bob

Last edited by Bob (2011-08-17 01:57:26)


Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob smile

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#5 2011-08-17 02:21:12

zee-f
Member
Registered: 2011-05-12
Posts: 1,220

Re: dividing polynomials

so i would get

(3x-2)-(6-5x)\-(x-4)(8x-1)

ill divide that know


One, who adopts patience, will never be deprived of success though it may take a long time to reach him. Imam ali (as)<3

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#6 2011-08-17 03:02:43

zee-f
Member
Registered: 2011-05-12
Posts: 1,220

Re: dividing polynomials

??


One, who adopts patience, will never be deprived of success though it may take a long time to reach him. Imam ali (as)<3

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#7 2011-08-17 03:04:51

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: dividing polynomials

Hi zee-f;

(3x-2)-(6-5x)\-(x-4)(8x-1)

You did that thing again. You can not replace / with \


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#8 2011-08-17 03:07:26

zee-f
Member
Registered: 2011-05-12
Posts: 1,220

Re: dividing polynomials

i was typing fast i missed that //// lol

(3x-2)-(6-5x)/-(x-4)(8x-1)


One, who adopts patience, will never be deprived of success though it may take a long time to reach him. Imam ali (as)<3

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#9 2011-08-17 03:13:13

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: dividing polynomials

Hi;

Have you copied the problem correctly? This is what I get.


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#10 2011-08-17 03:14:30

zee-f
Member
Registered: 2011-05-12
Posts: 1,220

Re: dividing polynomials

i didnt start dividing yet i just wanted to know if that step was correct


One, who adopts patience, will never be deprived of success though it may take a long time to reach him. Imam ali (as)<3

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#11 2011-08-17 03:18:09

zee-f
Member
Registered: 2011-05-12
Posts: 1,220

Re: dividing polynomials

so from  (3x – 2)(x - 4) – (x - 4)(6 – 5x) / (4 – x)(8x – 1)
to (3x-2)-(6 -5x)/-(x-4)(8x-1)=(8 x-8)/(4-x) (8 x-1)


One, who adopts patience, will never be deprived of success though it may take a long time to reach him. Imam ali (as)<3

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#12 2011-08-17 03:23:58

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: dividing polynomials

Hi zee-f;

1) (3x – 2)(x - 4) – (x - 4)(6 – 5x) / (4 – x)(8x – 1)

2) (3x-2)-(6 -5x)/-(x-4)(8x-1)

1 to 2 is not correct.


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#13 2011-08-17 03:45:42

Bob
Administrator
Registered: 2010-06-20
Posts: 10,583

Re: dividing polynomials

hi zee-f

Sorry, I went off.

Back to post #5.  The (x-4) should be cancelled away so that

there'll be  a minus on the bottom

That is a minus and the other bracket only.

Bob


Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob smile

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#14 2011-08-17 04:12:58

reconsideryouranswer
Member
Registered: 2011-05-11
Posts: 171

Re: dividing polynomials

zee-f wrote:

just checking to see if i did this right

the original problem says Divide (15x^7 – 45x^5)/(3x^4)

zee-f wrote:

Divide [(3x – 2)(x - 4) – (x - 4)(6 – 5x)] /[(4 – x)(8x – 1)]
so i cross out the x-4 they all divide to give me one

left with [(3x-2)-(6-5x)]/(8x-1)

zee-f wrote:

so from  [(3x – 2)(x - 4) – (x - 4)(6 – 5x)] /[(4 – x)(8x – 1)]
to [(3x-2)-(6 -5x)]/[-(x-4)(8x-1)] *to* (8x-8)/[(4-x)(8 x-1)]

zee-f, you must use grouping symbols, as in the above where I
have amended in these quote boxes (parentheses, brackets, or
braces) because of the Order of Operations.


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#15 2011-08-17 08:11:16

zee-f
Member
Registered: 2011-05-12
Posts: 1,220

Re: dividing polynomials

[(3*x-2)*(x-4)-(x-4)]*[(6-5*x)/(4-x)]*(8*x-1) = -(37*x^2-39*x-2)


One, who adopts patience, will never be deprived of success though it may take a long time to reach him. Imam ali (as)<3

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#16 2011-08-17 08:15:44

zee-f
Member
Registered: 2011-05-12
Posts: 1,220

Re: dividing polynomials

ok i willl thanx

so
[(3x – 2)(x - 4) – (x - 4)(6 – 5x)] /[(4 – x)(8x – 1)]


[(3x – 2)(x - 4) – (x - 4)(6 – 5x)]
when i factor it am ganna get
8(x-4)(x-1)

and [(4 – x)(8x – 1)] factored is

-(x-4)(8x-1)


One, who adopts patience, will never be deprived of success though it may take a long time to reach him. Imam ali (as)<3

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#17 2011-08-17 08:33:28

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: dividing polynomials

Hi;

Is this the problem you are working on?


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#18 2011-08-17 10:05:20

zee-f
Member
Registered: 2011-05-12
Posts: 1,220

Re: dividing polynomials

yup thats the problem


One, who adopts patience, will never be deprived of success though it may take a long time to reach him. Imam ali (as)<3

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#19 2011-08-17 10:37:47

zee-f
Member
Registered: 2011-05-12
Posts: 1,220

Re: dividing polynomials

hi:

ok so i tried to multiply the top part first using the foil method
this is what i got

[(3x-2)(x-4)]   -   [(x-4)(6-5x)]

f:   3x*x
o:  3x*4
i:   2*x
l:  -2*-4

(3x^2 - 12x - 2x - 8 )


[(x-4)(6-5x)]

f: x*6
o:x*5x
i:-4*6
l:-4*-5x

(6x-5x^2-24+20x)


[(3x^2 - 12x - 2x - 8 )] -  [(6x-5x^2-24+20x)]


[(-3x^2+-12x+-2x+-8)] - [(-5x^2+-20x+-6x+-24)]

2x^2+8x-8x+16



the bottom is ganna be from (4-x)(8x-1)
to

[(33x-4-8x^2)]

Last edited by zee-f (2011-08-17 10:58:25)


One, who adopts patience, will never be deprived of success though it may take a long time to reach him. Imam ali (as)<3

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#20 2011-08-17 11:13:51

zee-f
Member
Registered: 2011-05-12
Posts: 1,220

Re: dividing polynomials

am getting really confused so i watched this video   
http://www.youtube.com/watch?v=l6_ghhd7kwQ&feature=relmfu

really interesting but still confused because this polynomial its longer and just reaaaaaaaalllllllllllllly confusssing can somebody plzzzzzzz help thanx


One, who adopts patience, will never be deprived of success though it may take a long time to reach him. Imam ali (as)<3

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#21 2011-08-17 13:44:48

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: dividing polynomials

Hi zee-f;

Hold it! No need to do that.

In math you have to be tricky. Trickier than a politician even.

Now do you remember the trick bob bundy showed you in post #4 ?


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#22 2011-08-17 22:34:31

zee-f
Member
Registered: 2011-05-12
Posts: 1,220

Re: dividing polynomials

hi bobbym

yup i remember so i would get [(3x-2)(6-5x)]  /  [-(x-4)(8x-1)]  ?


One, who adopts patience, will never be deprived of success though it may take a long time to reach him. Imam ali (as)<3

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#23 2011-08-17 22:38:13

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: dividing polynomials

Hi;

You did not cancel on the bottom!


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#24 2011-08-17 22:40:37

zee-f
Member
Registered: 2011-05-12
Posts: 1,220

Re: dividing polynomials

so  [(3x-2)(6-5x)]  /  [-(x-4)]  ?


One, who adopts patience, will never be deprived of success though it may take a long time to reach him. Imam ali (as)<3

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#25 2011-08-17 22:41:52

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: dividing polynomials

Hi;

Nope, you cancelled the wrong term.


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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