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#26 2011-07-21 09:36:47

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

Re: Factoring Polynomials

i showed what i did

x^2-3x-18=
x^2-6x-3x-18

x(x-6)-3(x-6)

(x-3)(x-6)


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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#27 2011-07-21 09:41:09

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 90,753

Re: Factoring Polynomials

-6 x - 3 x = -9 x not -3 x


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

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#28 2011-07-21 09:44:03

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

Re: Factoring Polynomials

dont i have to factor x^2-6x
i used the method anonimnystefy used


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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#29 2011-07-21 09:49:04

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,753

Re: Factoring Polynomials

Yes, but you have to group so that it so that it still equals the original polynomial.

x^2-6x-3x-18  does not equal x^2-3x-18


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

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#30 2011-07-21 10:35:15

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,753

Re: Factoring Polynomials

Hi zeef

Try this grouping:

x^2 + 3x - 6x - 18


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

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#31 2011-07-21 10:46:01

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

Re: Factoring Polynomials

thats ganna give me

x(x+3)-3(2x-6)


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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#32 2011-07-21 11:25:12

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,753

Re: Factoring Polynomials

Hi;

Not exactly, do it this way:

x ( x + 3 ) - 6 ( x + 3 )

( x + 3 ) ( x - 6 ) is the factorization.


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

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#33 2011-07-21 19:49:42

bob bundy
Moderator
Registered: 2010-06-20
Posts: 6,536

Re: Factoring Polynomials

hi zee-f

You   wrote:

does anybody know a good website that teaches you Factoring Polynomials using grouping

and bobbym   wrote:

I can not think of a better one than here.

Of course I agree with this ... and who better to help than bobbym.  smile

But,  having said that you might like to look at

http://www.youtube.com/watch?v=2Q8lG1WaqJY

There are three examples there that take you through a prescriptive method using grouping.

Bob

Last edited by bob bundy (2011-07-21 19:52:46)


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

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#34 2011-07-22 09:48:52

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

Re: Factoring Polynomials

ok so this is what the question says  Factor problems 9 - 12 by using the difference of squares method. what on earth does that mean ????


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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#35 2011-07-22 09:56:05

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,753

Re: Factoring Polynomials

Hi bob bundy;

and who better to help than bobbym

Yikes! Let me tell you about him. Took two bullets straight through his head in 67. Yes clean through, nowadays people use his head in place of binoculars. I mean should we listen to a guy who the wind does not have to go around his head?

Hi zee-f;

Can you please bring those problems down here? Did you watch bob bundy's video?


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

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#36 2011-07-22 10:02:04

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

Re: Factoring Polynomials

yup i willl but i dont just want the answer i want help on the method plz smile


9. x^2 – 4

AThis polynomial cannot be factored by using the difference of squares method.
B(x – 2)(x – 2)
C(x – 2)(x – 1)
D(x – 2)(x + 2)
E(x – 1)(x – 4)
F(x + 2)(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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#37 2011-07-22 10:09:45

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,753

Re: Factoring Polynomials


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

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#38 2011-07-22 10:26:48

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

Re: Factoring Polynomials

thanx allllot  am ganna see the links and do the rest of the problems ill submit  my answers tomorrow to make sure thanx allot guyyys


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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#39 2011-07-22 10:28:34

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,753

Re: Factoring Polynomials

Okay! I will wait to see your answers. And please watch the video! I am watching it now.


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

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#40 2011-07-22 21:12:55

bob bundy
Moderator
Registered: 2010-06-20
Posts: 6,536

Re: Factoring Polynomials

hi zee-f

Difference of two squares.

When there is no 'x'  term, it has disappeared because there was a plus term and a minus term that cancelled out.  (see picture)

That leaves an x squared term and a minus term, which will also be a perfect square. (in my diagram '4' is a perfect square because it is 4 = 2 x 2 )

So you have the difference of two squares, x squared and two squared.

Does that help you to see which answer MUST be correct?

Bob

View Image: zeef9.GIF

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

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#41 2011-07-23 01:08:05

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

Re: Factoring Polynomials

hey guys thanx allot for all this help and sources it helped me solve my problems this is what i got

for #9 i got d and 10-D 11-E 12-D
Factor problems 9 - 12 by using the difference of squares method.

9. x^2 – 4

AThis polynomial cannot be factored by using the difference of squares method.
B(x – 2)(x – 2)
C(x – 2)(x – 1)
D(x – 2)(x + 2)
E(x – 1)(x – 4)
F(x + 2)(x + 2)


10. x^2 – 25

A(-x – 5)(x - 5)
BThis polynomial cannot be factored by using the difference of squares method.
C(-x + 5)(x + 5)
D(x – 5)(x + 5)
E(x + 5)(-x - 5)
F(x – 5)(x - 5)


11. 36x^4 – 4x^2

A(6x^2 – 2x)(6x^2 - 2x)
B(6x^2 + 2x)(6x^2 + 2x)
CThis polynomial cannot be factored by using the difference of squares method.
D(-6x^2 – 2x)(-6x^2 - 2x)
E(6x^2 – 2x)(6x^2 + 2x)
F(-6x^2 + 2x)(6x^2 - 2x)


12. x^2 + 100

A(x + 10)(x – 10)
B(-x + 10)(x – 10)
C(x + 10)(x + 10)
DThis polynomial cannot be factored by using the difference of squares method.
E(x - 10)(x – 10)
F(-x + 10)(-x – 10)


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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#42 2011-07-23 01:10:19

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,673

Re: Factoring Polynomials

all is correct.good job.


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#43 2011-07-23 01:14:31

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

Re: Factoring Polynomials

thanx to u guys smile i got them correct thanx allot


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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#44 2011-07-23 01:16:03

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

Re: Factoring Polynomials

i was wondering is the  perfect squares method different from this method ?


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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#45 2011-07-23 01:16:10

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,753

Re: Factoring Polynomials

Hi zee-f;

You did well!


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Offline

#46 2011-07-23 01:17:54

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

Re: Factoring Polynomials

thanx bobbym


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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#47 2011-07-23 01:21:28

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,753

Re: Factoring Polynomials

Did you get around to watching that video?


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Offline

#48 2011-07-23 01:22:28

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

Re: Factoring Polynomials

the grouping video yup it was really good he made the method reallly  easy


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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#49 2011-07-23 01:22:59

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,753

Re: Factoring Polynomials

Yes, I watched it too and liked it.


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Offline

#50 2011-07-23 01:37:04

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

Re: Factoring Polynomials

do u have any good links on the  perfect squares method isn't like different  from the difference of squares method.


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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