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#76 2011-07-23 08:06:22

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,606

Re: Factoring Polynomials

hi bob

about the perfect squares method:
let us take your example 9x^2+30x+25=
9(x^2+10x/3+25/9)=
9(x^2+10x/3+(5/3)^2)=
9(x+5/3)^2=
3^2(x+5/3)^2=
(3x+5)^2

also i did in school something ike this:
x^2-5x+6=
x^2-5x+(5/2)^2-(5/2)^2+6=
(x-5/2)^2-25/4+4=
(x-5/2)^2-1/4=
(x-5/2)^2-(1/2)^2
then we use the difference of squares:
(x-5/2-1/2)(x-5/2+1/2)=
(x-6/2)(x-4/2)=
(x-3)(x-2)


“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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#77 2011-07-23 08:06:40

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

Re: Factoring Polynomials

wow that was helpful yeah u do allot of math with pictures it really makes it more organized i personally liked the grouping method it was fun in a weird way smile


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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#78 2011-07-23 08:08:09

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

Re: Factoring Polynomials

i got 14-a 15-a 16- d


14. x^2 + 18x + 81




A(x + 9)(x + 9)
B(-x + 9)(-x + 9)
C(x - 9)(x - 9)
D(x + 9)(x - 9)
E(x - 9)(-x + 9)
FThis polynomial cannot be factored by using the perfect squares method.


15. x^2 – 3x + 16

A(x – 4)(x – 4)
B(x – 4)(x + 4)
C(x + 4)(x + 4)
D(x + 4)(x – 4)
E(-x – 4)(-x – 4)
FThis polynomial cannot be factored by using the perfect squares method.


16. 4x^4 – 20x^2 + 25

A(2x^2 + 5)(2x^2 + 5)
B(2x^2 – 5)(2x^2 + 5)
C(-2x^2 – 5)(-2x^2 – 5)
D(2x^2 – 5)(2x^2 – 5)
E(2x^2 – 5)(-2x^2 + 5)
FThis polynomial cannot be factored by using the perfect 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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#79 2011-07-23 08:13:21

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,606

Re: Factoring Polynomials

hi zee-f

14 and 16 are correct but 15 isn't.how did you get your answer and did you check to see if it is correct?


“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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#80 2011-07-23 08:20:19

bob bundy
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Registered: 2010-06-20
Posts: 6,469

Re: Factoring Polynomials

a picture speaks a thousand words

Bob

View Image: zeefthirteen.GIF

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

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#81 2011-07-24 00:03:39

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

Re: Factoring Polynomials

hey guys so i revised my answer for #15 This polynomial cannot be factored by using the perfect squares method because when i multiply the x *4*2 its going to give me 8x so thats not what the middle term is this cant be done using the 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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#82 2011-07-24 00:06:21

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,606

Re: Factoring Polynomials

hi zee-f

that is correct.actualy it cannot be factored by any method if you don't use complex numbers.


“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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#83 2011-07-24 00:07:50

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 89,016

Re: Factoring Polynomials

Hi;

That is correct. If you multiply out all of the choices you will see that none them is correct, so the answer must be F.


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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#84 2011-07-24 00:18:08

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

Re: Factoring Polynomials

i also used  this website it made the method sooooo easy u guys can check it out it cleared the idea alotttt   http://www.ehow.com/how_5953961_factor-polynomials-perfect-squares.html


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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#85 2011-07-24 00:19:31

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 89,016

Re: Factoring Polynomials

Hi;

That is a nice site, did you find yourself?


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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#86 2011-07-24 00:22:23

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

Re: Factoring Polynomials

yup i just searched it on yahooo on how to do the squared method i needed a more clarification thanx allot for alll the help guysss


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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#87 2011-07-24 00:23:13

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 89,016

Re: Factoring Polynomials

Thanks for that page!


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.

Online

#88 2011-07-24 00:52:59

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

Re: Factoring Polynomials

17. x^2 + 2x + 1

AThis polynomial could be factored by finding the GCF, then by grouping or using the perfect squares method.
BThis polynomial could be factored by using the difference of squares method, perfect squares method, or grouping.
CThis polynomial could be factored only by using the perfect squares method.
DThis polynomial could be factored only by using the difference of squares method.
EThis polynomial could be factored by using grouping or the perfect squares methods.
FThis polynomial cannot be factored by any of the methods used in this lesson.



i choose (A)


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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#89 2011-07-24 00:54:05

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

Re: Factoring Polynomials

18. 2x^3 + 4x^2 + 2x

AThis polynomial could be factored by finding the GCF, then by grouping or using the perfect squares method.
BThis polynomial could be factored by using the difference of squares method, perfect squares method, or grouping.
CThis polynomial could be factored only by using the perfect squares method.
DThis polynomial could be factored by using grouping or the perfect squares methods.
EThis polynomial could be factored only by using the difference of squares method.
FThis polynomial cannot be factored by any of the methods used in this lesson.

i choose (A)


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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#90 2011-07-24 00:55:48

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

Re: Factoring Polynomials

19. x^2 – 169   i choose (E)

AThis polynomial could be factored by finding the GCF, then by grouping or using the perfect squares method.
B This polynomial could be factored by using the difference of squares method or grouping.
CThis polynomial could be factored only by using the perfect squares method.
DThis polynomial could be factored by using grouping or the perfect squares methods.
EThis polynomial could be factored only by using the difference of squares method.
FThis polynomial cannot be factored by any of the methods used in this lesson.


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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#91 2011-07-24 00:57:28

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

Re: Factoring Polynomials

20. x^2 + 5x – 7   i choose (A)

AThis polynomial could be factored by finding the GCF, then by grouping or using the perfect squares method.
BThis polynomial could be factored by using the difference of squares method, perfect squares method, or grouping.
CThis polynomial could be factored only by using the perfect squares method.
DThis polynomial could be factored by using grouping or the perfect squares methods.
EThis polynomial could be factored only by using the difference of squares method.
FThis polynomial cannot be factored by any of the methods used in this lesson.


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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#92 2011-07-24 01:10:20

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

Re: Factoring Polynomials

so did i do wellllllll smile???????


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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#93 2011-07-24 01:15:46

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 89,016

Re: Factoring Polynomials

How did you get the GCF of 17


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.

Online

#94 2011-07-24 01:18:30

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

Re: Factoring Polynomials

the question says

For problems 17 – 20, identify which of the methods from this lesson (GCF, grouping, difference of squares, or perfect squares) could be used to factor the polynomial.

17 can be factorized by using the gcf 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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#95 2011-07-24 01:21:33

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

Re: Factoring Polynomials

if not it has to be c or e


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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#96 2011-07-24 01:22:33

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 89,016

Re: Factoring Polynomials

I do not think so, is there a common factor for each term?


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.

Online

#97 2011-07-24 01:25:06

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

Re: Factoring Polynomials

nope it cant be  factored by the gcf


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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#98 2011-07-24 01:26:55

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

Re: Factoring Polynomials

i like c what do u think because it cant be done by the difference square 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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#99 2011-07-24 01:27:52

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 89,016

Re: Factoring Polynomials

Hi;

(x+1)^2 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.

Online

#100 2011-07-24 01:31:35

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

Re: Factoring Polynomials

Factoring Perfect Squares


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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