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#76 2011-07-24 06:06:22
- anonimnystefy
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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)
The limit operator is just an excuse for doing something you know you can't.
It's the subject that nobody knows anything about that we can all talk about! ― Richard Feynman
A secret's worth depends on the people from whom it must be kept. ― Carlos Ruiz Zafσn
#77 2011-07-24 06:06:40
- zee-f
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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 
One, who adopts patience, will never be deprived of success though it may take a long time to reach him. Imam ali (as)<3
#78 2011-07-24 06:08:09
- zee-f
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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
#79 2011-07-24 06:13:21
- anonimnystefy
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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?
The limit operator is just an excuse for doing something you know you can't.
It's the subject that nobody knows anything about that we can all talk about! ― Richard Feynman
A secret's worth depends on the people from whom it must be kept. ― Carlos Ruiz Zafσn
#81 2011-07-24 22:03:39
- zee-f
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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
#82 2011-07-24 22:06:21
- anonimnystefy
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Re: Factoring Polynomials
hi zee-f
that is correct.actualy it cannot be factored by any method if you don't use complex numbers.
The limit operator is just an excuse for doing something you know you can't.
It's the subject that nobody knows anything about that we can all talk about! ― Richard Feynman
A secret's worth depends on the people from whom it must be kept. ― Carlos Ruiz Zafσn
#83 2011-07-24 22:07:50
- bobbym
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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.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#84 2011-07-24 22:18:08
- zee-f
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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
#85 2011-07-24 22:19:31
- bobbym
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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.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#86 2011-07-24 22:22:23
- zee-f
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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
#87 2011-07-24 22:23:13
- bobbym
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Re: Factoring Polynomials
Thanks for that page!
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#88 2011-07-24 22:52:59
- zee-f
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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
#89 2011-07-24 22:54:05
- zee-f
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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
#90 2011-07-24 22:55:48
- zee-f
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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
#91 2011-07-24 22:57:28
- zee-f
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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
#93 2011-07-24 23:15:46
- bobbym
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Re: Factoring Polynomials
How did you get the GCF of 17
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#94 2011-07-24 23:18:30
- zee-f
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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
#96 2011-07-24 23:22:33
- bobbym
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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.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#99 2011-07-24 23:27:52
- bobbym
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Re: Factoring Polynomials
Hi;
(x+1)^2 is the factorization.
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.